{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "![](https://raw.githubusercontent.com/Qinbf/tf-model-zoo/master/README_IMG/01.jpg)\n",
    "AI MOOC： **www.ai-xlab.com**  \n",
    "如果你也是AI爱好者，可以添加我的微信一起交流：**sdxxqbf**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import linear_model\n",
    "from sklearn.datasets import make_gaussian_quantiles\n",
    "from sklearn.preprocessing import PolynomialFeatures"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD8CAYAAABjAo9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2c6f99aa7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成2维正态分布，生成的数据按分位数分为两类，500个样本,2个样本特征\n",
    "# 可以生成两类或多类数据\n",
    "x_data, y_data = make_gaussian_quantiles(n_samples=500, n_features=2,n_classes=2)\n",
    "\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
       "          penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
       "          verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logistic = linear_model.LogisticRegression()\n",
    "logistic.fit(x_data, y_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD8CAYAAABjAo9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzsnXd4HNXVh987M1vVrGbJvRdwBVzA\nGEwNEEpoHy049BI6CQQIHQIxNTgQAk7oJSQETMB007Gxce+9yLYsWbJ62TYz9/tjViutdlda2ZLl\nMu/z8CBrd2fu7GrPPXPO75wjpJTY2NjY2Ow/KJ29ABsbGxub9sU27DY2Njb7GbZht7GxsdnPsA27\njY2NzX6GbdhtbGxs9jNsw25jY2Ozn2EbdhsbG5v9DNuw29jY2Oxn2IbdxsbGZj9D64yTZmYpsnvP\njj91mZGKb52jw89jY2NjsyeoDpXslFLmtva8TjHs3XtqvD0jb4+d7zdP/Y7u723aY+ezsbGx6Qg+\nK3y2IJnnHRChmNd//zRTZk/v7GXY2NjY7BEOCMPeQOHfu3T2EmxsbGw6nAPKsL8x6hWmzJ7O9nP6\ndfZSbGxsbDqMA8qwN2CHZmxsbPZnDkjD3oAdmrGxsdkfOaANe0Noxje8R2cvxcbGxqbdOKANewNT\npz1nh2ZsbGz2G2zD3oQ1f+jT2UuwsbGx2W1sw96E6Wc+Y4dmbGxs9nlswx6HqdOeY9jHOzp7GTY2\nNja7hG3YEzA5c7Ydd7exsdknsQ17K9ihGRsbm30N27AngR2asbGx2ZewDXuSTM6cbRt3GxubfQLb\nsLcBO+5uY2OzL7Dbhl0I4RZC/CyEWCKEWCGEeLA9FrY3M2X2dNt7t7Gx2WtpD489ABwnpRwFjAZO\nFkIc3g7H3auZnDnb7jVjY2OzV7Lbhl1a1Ib/6Qj/J3f3uPsCDb1mbGxsbPYm2iXGLoRQhRCLgRLg\nSynl3PY47r7ClNnTbe/dxsZmr6FdDLuU0pBSjgZ6AuOEEMObP0cIcbUQYr4QYn5Fudkep92rsId4\n2NjY7C20qypGSlkJfAucHOexaVLKMVLKMZlZ+68Y5/XfP93ZS7CxsTnAaQ9VTK4Qokv4Zw9wArB6\nd4+7L2OHZmxsbDqT9nCduwHfCCGWAvOwYuwz2uG4+zT2EA8bG5vOoj1UMUullIdIKUdKKYdLKR9q\nj4XtL0yd9tweP2d6RpCJJxRx2IRSNG3/y2fY2Ni0jNbZCzgQmDJ7OpOXXEaP31Z2+LnOvGgTv7l+\nHXpIAGAYCvfdOIZ1KzM6/Nw2u4+iSBRFouv7bx7KpuOxDfse4o1Rr8BsuHPCWR12jiHDKpn823W4\nXCYuV8NvDR7663wuPulYDKN1Y6E5TCYcu4Pe/WrYujmVWV/no4dsI9PReLw619y+ikknFaGqJhvX\npPPsI8PYsMbekG3ajv2N3cN0ZEHTL87aisMZG3pRNZNRY8tafX1mdoBp733PjXcv58KrNnLDH1fw\nz+nfk5Xj74jl2jTh/r8sYNIvtuN0mqgqDDq4minTfiYnz9fZS7PZB7ENeycwZfb0Dpmv6k0xUNXY\n3wvA7TFaff01t60ku6sfb4oROV5mjp/f3rGynVdq05Q+A2oYdHAVTld0wbammZx67pZOWpXNvoxt\n2DuJhvmq7cmsr/Lw1cdadtUhWbogq9XXj59UitYsOKdpMO6oUg6QLhGdQvde9RhxYupOl6TvoJpO\nWJHNvo5t2DuZ9jTus7/JY/WyjIhxNwzw+xRenjqY2mpnq6+XCWx3ot/btA8FG1PRHLEhtIBfYc0y\nux7Cpu3Yhn0voL1CM6ahcN9NY/jLgyP47vN8Pp/ekzuuHs+M//RN6vWzv84jFFbTNKCHBD990xUr\noGPTEWzfksLCOTkE/I1fR8OAYEDh0/d7deLKbPZVhOwEd2zYSKd8e0beHj/vvsDNV9+AZ3lhp5w7\nPSPIky/PITMngNNlEAyoVJY7ue3yw6mqcLV+AJtdRtNMLrxqPaecvRWX22Dxz9n84+mDKC70dvbS\nbPYiPit8doGUckxrz7MN+17GGxUTWHFq5703imoy9sid9O5Xy9bNKfz8Yy5mEjJJGxubjidZw27r\n2PcyJmfOhtlw1ge3MOTxgj1+ftNQmPt9V+Z+37XDzuFyGbjcBtVVDuwQj41N+2Mb9r2U6Wc+A2d2\nbEHTnsabEuKme5Zz+KQSAHbucPPXPw1n6YLsTl6Zjc3+hX2PvZezP81Wve/phYw/ugSHU+JwSrr1\n8nH/Mwvo0ae29Rfb2NgkjW3Y93ImZ86ODPDIzPZz6wNLeefrmbzx2ddcfO3auDK5vZGefWrjF+E4\nTH514Z4POdnY7M/YoZh9hDd//zSD73QhDCVSRHT2xZsZdHA199/Uai6l08nr7gs3toreiDQNevap\n65xF7QLpXYL84ldb6dO/jtXLM/j64x746u2vkc3ehf0XuY/QRVFREKhNPjGX22T4IeX0G1TNpnXp\nnbe4JNi8Pg1nnD42gYDCisWZnbCittNnQA1P/HMumsPE5TaZcGwxF1yxgVsmT6Cs1N3Zy7OxiWCH\nYvYRvEJBFbEKEmkK+g/e+8vOy0rdfPNJd/y+6CKcgE/l43d7d+LKkufme5fjSdFxua0Nyu01Se8S\n5LKb1nTCaiSHT9rBI3/7mWden83/XboBj1fvhHXY7I3YHvs+gl9KTClRmhl3CRQXejpnUW3k2UeH\nsXlDKmdcUEBKqs6Cn3J47W+DqSzf+4ufXC6DgUOrUZq5QlYvnRJS00Lk5vso3u7FV9fxX6uLr13H\nWRcV4PZaDdt696/l+NO2c/PFRxDw21/rAx37L2AfodLU6apqSCkRYeNuSoniCe0zoQwpBR++05cP\n3+nb2UtpM4YhMCXEaZ6Jx2vwxmdfEwqpaJrJx//txctThyJlx2j0u2QFOGfyZpyuxtCWy22Sm+fj\nuFO38+l7+8YdkE3HYYdi9hF0YKMewC8lMvxfrWmyUQ8wZfYHbD+nX2cvcb9G1xUWzM6O2xBNCKsT\nY0qqFab55TnbOPOizR22lqEjKgnFGX7i9piMm1jSYee12XewDfs+hF9K1usBVob8rAj5KTCCNHRZ\nf/33T3foEA8b+PLDHphx1KXNUx9uj8FZF2/usHVUljsRInaHMXTsJK4NYBv2fRKTxN3RbePeMYw7\nqoQb/rgqJsaeiLSMUIetZfWyLlSWOzGazU4JhZR9JhFt07HstmEXQvQSQnwjhFglhFghhLi5PRZm\ns+tMmT0d3/Aenb2M/YahIyq449HFZGYHY7zzRKxb0ZHyU8Hd141l66ZU/D6FulqVulqNZx4azqZ1\n6QwZVsmdf17E06/OZvJv15KRGejAtdjsjbRH8lQHfi+lXCiESAMWCCG+lFLa89Q6kanTngP2r14z\nncV5l22MSlQ2ICWEQgKBRFVBUS0JZyio8o+/HNShayop8nL9BRPp2acWb6rOxrXp6CGFo04s4pb7\nluF0mSgK9BtUy0lnbuPGiyZQUWaHaQ4UdtuwSymLgKLwzzVCiFVAD8A27HsBwz7e0altgPccknFH\nlXLaeQV4U3R++LIbn73fi0Agno6lbfToUxc3BBPwK9x93Vj0kML5V2ygd/9a1q/K4N8v92fLxrTd\nPm8ybCtIjfysqCbX37kSt6dxE3K6TIQS4rzLN/LiEwfvkTXZdD7tKncUQvQFDgHmxnnsauBqgG49\ndv/LZpMcDW2AO3OAR3uTkhrilHO2cNgROykt9vDhO3048vhiTj9/C56wrrvfoBpOOK2QWy89Aj2O\ngqQtrF7ahW496qOqfsFKmm5en4bfp/HI7Yfu1jnag+496+P2DnI4JGMnlPJiJ6zJpnNoN8MuhEgF\n3gNukVJWN39cSjkNmAbWoI32Oq9NcuwvoZm0jCDPvjWb9C5BXG4Tw6jgyOOL0DTQHI1/Vm6PSbde\n9Rxz0nZmzui5W+f898sDOPK4HbgUI+K5+3wK09/si9+395SC1NY4UNX4X62qytZn3trsP7SLKkYI\n4cAy6m9JKd9vj2PaRJMiFLIUlRSxex9Z4d/37HDkjMwAN92zjH/N/IrXP/2Gi69di8NptP7CBJw9\neRMZmYFIWb+qgtsjUbVYg+bxGoydWLrL52pg+9YUfn/54cyflUtttUZhgZcXnziIt14c1OprNc2M\nK03sCCrLXSxbmEkoGJ3h9dWrvP+mXedwILHb7oawyiBfAlZJKZ/e/SXZNEUB+msunE3kGEEp2agH\n2JWGvW+MemWPhWZcbp1n3viJrOxAxJs+++LNDB1RxT3Xj92lYx5+dElM699E6DqU72yfdgUFG9J4\n8NbD4j6mKBKEjBohOOyQcq67cyW9+9USDCh8Nr0Xr/x1SLjDZcfx+N2juPepRQw6qAo9pKA5TN57\nvR+zvsrv0PPa7F20x33kkcBkYJkQYnH4d3+UUn7SDsc+4OmmOnAJEdUjxgV0Vx1sM3ZdKz112nMd\nPl910klFpKWHokIkLrfJQSMrGDi0ivWrM9p8zJoqR8LHTJOoJKceUvj0/V5tPkeydMkKcP1dKxh3\nVClCSJbOy+bZR4fh9hg89Nf5kSSm22Ny8tlb6ZIZ4Il7R3fYegBqq53ccdV4uvWsIysnwOb1adTV\nNr5n6RlBTji9kN79alm9PINvP+u+V4WTbNqH9lDF/Ig9uLLD6KKoMY2/FCHIUNTdMuzQmFj9zVO/\no/t7m3brWPE4aGRlJJnZFCkF/YdU75Jh/+Bffek/ZFnUcXUdNq9Lw5tikJkTwDQtCeLUPw1PUp0i\nOf60Qi68YgOZOUE2rknjpalDWL0scQ8eRZE88dJccvN9aOEw0MixZTz1yhyWzs/C0axFsdttMuG4\nEjKfCVBR1jFNz3LzfBxx7A4UBX76tisrFmdFPd5nQA2Ph9sOu90mE08s5sIrN3DLbyZ02JpsOgd7\nq95Hac+d9PXfP82d77V/UnXrplT8fgW3O9rISQnFhd5dOubsr/PoP6iac36zmWBQQdMkhVu8PHDL\nGCrKnPQdWIvHq7NuVUbSapizL97Er6/ZgNtjbRYHj67kkefncec141m3MnbzGTi0iitvXU1e93rU\nJgIvK95vcNCoyqjfNxAMKuR1r+8QI/rLc7Zw5a2rI/H8S29cw1czuvP3x4ZFwj+33LcMb4oeuavx\neA0cDpNLb1jDXx4c2e5rsuk8bMO+l1NjmqQrSqSjI1hdHWtl+43EU4B/zvmIGiOLDR9n8NG/+1Cw\nYfd12DNn9OCCKzdgmmbEmOghQflOF8sWZLX84oQI3nxxMP97py8Dh1ZTUeZi8/rGtTb9OR4Op8GR\nx+2ge+86Nq9PY8GsHC68stGoN+B0mVx87bqY6VSHT9rB7X9aEikAao7Ha1Bd5UDK2B4yTqfJ9i0p\nbbvcZmRm+zn6F8V4U0MsmpPD6mVdyM3zc+WtqyMJ5QZOOrOQI4/bwR1Xj2fHdg/9h9TEth12yMhw\ncZv9B9uw7+UUGSG8igtFSlQhMKREAtv19ulFogIDHS5UBN20GgaeVc2xpxbz+F0jmT8rB81h7nJ/\n7+pKJ3+4cjy33r+UvgNrkcDin7N55sERu93StqbKyaK5OW16TW6ej6denYPHq+PxGgT8CkLIuMlY\nRYEBg6NVu0JIbvjjiqgCoOYEA4KsnECMUQ/4BV9+1IPqql2XHY49soQ7pyxGKOBwmJz7m83M+a4r\na1fED2kJAanpOg9MXcDVZ09M2GAoXqfIRAghGTW2jB696ynYmMryhZnYkdi9D9uw7+WEkKwN+clQ\nVDxCwS9NKk1jlxQx8chVNTQak7OKELhdOnf+eRFCSBRVsGVjCh+/25vhh5aTmqbzw8x8vv20e1IK\nj83r07h58pF4UkIcPKKC0YeXc/JZW/nm0+7s2L5r4Zhd5ca7V9AlMxApNHJ7zLiedQOFW6O96979\na/CmJJ5SZJqWB9zcK5YSirZ5d6vy0+ky+MOjS6I2FbfHYPzRJQQDSkLbKgSkpoXo07+O+bNzOGzC\nThxNktkBv8KXHybXVygtI8hj0+aSm+9HVSWmIdhWkMJdvx23R4aL2CSP/WnsA5hAhWlQwa7rvxOR\nLmKTswAOpxkO/0j6Darl+rtWIqXlyQ47pIKTztzGnVePwzBaN+5CSG6+dzljJuzE5TYwdMF5l23k\nLw+O4IcvuyW91gFDqjjh9EJcboNZX+Wz4KcckvUWVdVk9LiyuNWj8fD7FP7ziqX9HnFoGVfcupq+\nA2sig8QTEQoqMSERISAtXcc0G0+WlhFk1JhyAn6FRT/ntJoPGH5Iedy7HI/X4ITTC+P2iW9ASiu0\nNPXhETw2bS45eX6EsNa1ZnkGb/9jYMsXFeb6O1fQvVc9jib1hX0G1nDZjWt4fsqwpI5hs2ewDfsB\njpHg/lw0s3gNhgAsY9JvUA0TTyjmu8+7t3qO8UeXMGbCzoiSRXFKQHLLfcuY92NuUnK7M3+9icnX\nrsPhNFFVOPoXxcz7MZfH/jiKZIy7hKQKhaSEYEBBUUzu/8tCTENE5JoN15/Iy9f1xBvFjqLG8YW/\nPGcLV/5uNUZIILFUQg/cchirliRW4ZhSkCiWoijW3UKDcY+3hrUrrWTyb8+byIjDyunW08fGtWms\nX5WcMkkIyRHHlERJVwGcTsmxJ2+3Dfteht2P/QCnzDQwmrl7siX3L4zHa3DUCcVJneOYk7fHlT0a\nhmDkmPJWX5+Z7eeS69bh9pgRtUlDVekh48uSWoNpKFS3oIGPPM8EhInTZalcHE4ZtamB9XO8t6ik\nyMvMGdEDu8Hy/t97rR9jjizll+du4YpbV+FymXhTDVJSDVLTdB6cugCnK/Ed2fKFWdBCXkJRrDh+\nTZUjUnkaCgn8PoW/PDCiyR2BYNmCbL74X8+kjXrDNQslwcYSp+rXpnOxPfYDnErTwC0E2YqGJPmd\nXkoYd3QJdz22iGceGtFijFUPKTHFQxYCQ2/d2z708DIMI/Z5LrfBhGOLk06iblybxqGHJ95IggEF\nVTNxJaFGFMLy0DXNSpgahsIzD45g3coMTEPhxDO2AeD3qXz1cXdue3gpphQ4nUaM12thcuGV61mz\nvAuLf86OuYvRQwqP3jGae59ahKKaOBwyzuQmycyP8lm6IJuxE0qpKHfyxf96UrQtOlfgcut06+mj\nrNRFTZLJXNMULJ2fzcgxZVFSTl2HeT/kJnUMmz2HbdhtKDZ0dho6aUKlu+aIibk3ePBNwzNCWB7t\nuIkl3DVlEffdmLhFwJcf9eSIY0tiJIVIWDI/u9X1BQIK8dSd0qRNVZOfvtc7XDQVq6v316vM/aEr\nY48sISWt9VyGr17lhy/y8KYZbNucwqfv9yIrJ8Al16/F71e469qxlBR5QUj+Of37FpU0AN4Uk19d\nWICub0FV4Yl7RjLnu+iq4MU/53DJqZO44IoNnPp/W3A266Xnq1fZuDadWV/lJ2ghILnoqg2cc8lG\nDF3gcEh+/CqPqQ+PSErz/9yjw3j61Z9wugw8XhNfvUp9ncY/nm5773lFkaSmh6ir0ZLK09i0Dduw\n2wDWtJQQMm4Ut6lBl1JG/dvpkgw/pILcfB+lxZ44r4Yl87KY8W4vTj9vC2CFYISAh287JCmDMn9W\nbty4cUhX+Orj5CdFzf4mj/GT8pl4fDGaJiMyv4duPZSlC7JJTQtxxGc7Wj2OHoLSYjfP/Xl4xChd\nduMaTjuvAKfLUtqc9n9beO/1ftRUO5KauiSE1W6h4Wbh9keWcOWvJsUUM9VWO3npmaEcMr6MHr3r\nIolMQ7fuDr77PH4yOjfPx1W/W8X4o0uj7hiOPaWII47Zwb/+MZDpb/WLSvA2p7jQyxVnTuKYk7fT\nd0ANG9Zk8N3n+W2Ww5581hYuuX4dbo+BYQg+eLsPb704qM0SWIfT4JDxZTidJot/zqa2pvVQ24GC\nSCae2t4MG+mUb884EIY/7FtowBCHO65KpiVqazQeuPkwVi1NnPwD6NazjkOP2El9ncacb/Pw1VsG\nQVFNjjimhHETS6iqcPL5/3pS2GSABMDIMWXc+9TCcBYUNE3y0jNDmPFunzatFSx1zejxZdRWO5j1\nVX6UQbj29hWcdt7WuMZYSmtC0sfv9uatFwdFerD0HVjD06/+FKOGCfgVPnmvF2dcUBBTidqQgDVN\nYmL4Da995dkhfPTv+NeXmh7kmttWMfGEHSiKZOGcbJ6fMizu5nrEMcXc9qelOJ3xi6oA/D7Bd5/1\n4K+PDOfwSTv49dXrye3mY+OadF57bjBrVrRPV9CJJxRx6/3Lou5g/D6F99/sy1svDk76OCMOK+Pe\npxbRkFDWNMmLTw7l8w/275mvnxU+u0BKOaa159mG3SaK7qqDLoqK2gbjHgiqTP7FMVHNppJF00we\n/fvP9B9Sg8droIcEhiF4+oER/Dgz2vt0uXUOm7ATp9Nk4Zwcqjugx7jLrfPeDzPjGnbThPOOOR5f\nffR1nn/Fei66an2MFDIYUPj4vV6cctbWmFBMMChY8nM26V2CDBxaHSPD1HV484VBvPvqgFZW3PD9\njf95uVwGb335ddzkdXOCAYVXnh0U9qajDe8ffzuONcu7oKgm/QfVEAwqbNmYmvC8ifj7f36gd/+6\nmN/X16mcf9zxUR0yE+Fy67z5+Td4U6KvKeBXuHnyBLZuSk3wyn2fZA27HYqxiWK7EcIvTbqGC5ea\nyx6bY0hJleLfJaMOcNyphQwYWhOJv2sOieaQ3HLfcn7+oSvBJqPtAn6N2V+3b/vZPgNq+NWFm+ne\nu55lC7KY8Z/ebFybRv/BNVHGXUpYsSgzxqiDldiUZqwc0ZRQvM3LD190Y+KJxRHj6qu3QibPPjKc\n/oOreeKlOaiaGXPM+bOSSUq2/PkMP7QcM07iOR7BoMKvr1kfswm5PSaX3riG/77an98/vBSHw0QI\nqyXyw787lK2bkzekOXn+uL93OE3cboP6utYN+9iJpXGVn6pmcvxphbz67JCk17O/Yht2mxjKTYNy\n06Cf5sSDktB7l1JSYRr4pMmbc2fwSelBzLq5a5v6zEw6qSg2qYqlwhg6vJKlC1pPrnbJCvCrCzcz\namw5xYUepr/VL27zruYcengpdz+xyNpMNMmQYZWceu4WPvpPL/oNrIlIhKS0jNifbos//u6HL/P5\n9dXraW5tBDDrqzxm/Kc3s77O47hTtyMlfP1JD+bPspQ8G9emM3NGD44/dTsut/U+BIMKC+dks61g\n9/rKAFZ1cJKDPpxOM+FzBwyu5o+PL476rLr1rOfxl+Yy++uu5OQFWDQnm8//16tFhdSmdWkMG10Z\n8/vaagf1SVavuj0G8ebNKAp4vYkrgw8k7FCMTYukC4V81YFTxHrvhpQEpYlTWMZfhvvYPPnSUXz3\nQnJe3L1PLeDwSbFTjurrVO65fixrlrcc283O9fPs27PweA2cLhPTsAzjU/ePYPbXLVW1Sl77+Fty\n8gJRvzUNy9NuGlYJBQUP3Hooi+cm9qBPPGMrv71jVcQ7VhTJ1IeHxy3g6t67jqNOKELTJD99m8fG\ntWmMHlfGGecXMGp8GQJQVGuzqa9TmPlRL954YdAule17U0K8+dnXuDwtf88DAYVl8zMZdkj8VssV\nZQ5S0/SoqlOwNj3TtBRSfp9CVYWTmy6eQG11/DDZQaMq+NNz82JCPX/78zC+/iS5RHh2Vz//nP49\nTlf0nYWvXuWR2w9pcw+hfYlkQzG2zsimRaqlyVYjGF8tAxGjDpZ6RhGC2674AU8LPVWa8un7vfHV\nR2cWTRPq67SEza2acsEV60lJ1SNfckW1Qgc33LXSmmyUgOzcAGkZsY3UFJWYWLnDKbnk+nUtruPL\nD3tx2WmTePyOg7jpjIM5d/RhfPNBVkyx12nnFfDc27O46KoNnH/FBp54aQ6X3rCW5YuyOHh0JW63\nicvdqFNPSTU55ZwCHp82t80j9jTN5JHn5yGUxKEYKUHXBd991o1H/3AoH77TO26BVcGGtBijDo2y\nV7De98zsAOdMTtzbf9WSTO6+bizLFmRSU6WxYXUaj989OmmjDlBW4uZf/xyA36dghvcgX73KwjnZ\nLJrb+h3egYAditnLUYB0RUUBak2T+Ca2Y/FJSbERIl91RJ3dZ5qkxmk8LoEnZ37MCdNvYsjjBS0e\ne/6sHD5+tzdnXFCArgvL0IQUnrh7JL88ZyupGSEWz81mzfIM4sWTD5uwM27Bj9Nlkte9nqJtKchg\nEKOqCkLhzUZVqTI9cQ1/ZZnKey/k8vNX6WTm6pxzbSljj62hV9/YhF9zyrfqzF7R8H4Erf+cTtTs\nLIQQZHf1c/nNa3A18TRVj8np5xdQVeFAUeNr3Z1OyO9Zz7ijSli1JDNcQdt63PzI44vp1a8uxrNt\nihCwbGEXpj48AoA3X7CUKWdcsAVVlfh9Kq88N5j6Wo0hw6rwpLSchHW6JEccW8Jrf0sc5169LJM7\nrxnf6vpb4j+vDGDJvGxOPGMbLrfBD192Y96PudidJi1sw74XkyIU+mjWLa0AUKHM1Ck29nwcscw0\nqDQNUhU10g++p+qI0bU3YALTz3wGzmxtvqrglWeHMOM/vRkxppyaKgd6UOGBqQsRQuJwmvzfJRuZ\nPyuHx/44OkbrXF3pJK97bEJO1SR1NQ6MujpkVXT7XQwDf3Etz9zVh3GTKugz2E91hYaiSh65ui81\nlSqhoMLm1bByvpdL7yjm0OPiJ/0akKaJrK6OfSAYRPr8CK+HcUeVxC20cjhNRo4pb/EOw+0xuPvx\nxZimFe9/7tFhLJwTHRoSQtKtZz0Bv0pZqZsxR5a2qoYxTahvkvg2TcHrzw/h7WmD8Kbq1FY7ME2B\nqpqcM3kTvfvXRsIoiXrm1FbvGbOyZnmXVkN1Byq2Yd9LEUAfzRmTuMxSNGpMk7oEgzY0IFVRkUBN\nO7b3BTCAKrPRUJSbBumKGuMjSYha35jHFkZmq2qayYTjdtBnQA2FW1L4cWY+wYBK6Q4PX3/cA1U1\neeuLaHmex2sw5sidHHViMd9/ER03f//Nftx87/KopF4wIFg8O5XKIgNZXZPwemb+K4Nv/5uGHhKo\nmkRKEb61b7yigE/llSndWLo8zkikptfsT2z4zfp6FK8H0xBxe8xICUWFHka1MN9bCKsniwrkdfdz\n9xOLuO3yw9m0Lh2A0eN28rvTQ3lsAAAgAElEQVQHrQlJqirZuDaNjWuta4vfwiB8fX6VT96L1X7r\nuhIlJzUMhTuuHs8vz9nCMScXEQgoZGYHyOvuiwpd+epVPnynb+IL2WXCBQw2SWEb9r2UlHhpf6zQ\nTKaiUmfEmuxsRY0KlwjVQYEebNdpS02pkyYlhk5XVYucUwKb9OiEZMNs1Ss+vYYPx7xLepcg3hSD\n+jqVy25Yw+8uPYLSHVZhzdARlShqrCGy2tNuizHs33+RT+9+NZw9eTOhIDgckjWLvTx2XS/Mqlj1\nRXMaKl9b6lljGIKfv8lCtNBDRuot3EUZ1qYz9/uuXHP7qtg16AqfvtsDacDJZxfGyA3jecYOp8nZ\nkzfx1H2jyO9Rz71PLYra3AYeVE1mdgDDSGzYpYSZH3VncZLJxmBA5YO3+/HB21Y746wcP3/62zy6\ndvNjmtZ7/+n7vfj+i/aTpE76xXYuvXEtXbv5KSt18eYLA/nifx03oHx/oV0MuxDiZeA0oERKObw9\njnmgk8jMCCFQ4jzqEoJ8NbbPSx/NyaqQv10996aUmjoVpk5KkxBNIv/w89NeJqPJcG5vioHLZXDD\n3StiRtDFQ4YMjOoaFK8HEXETrVF57/09iz59KigrdlBU0L4zRY2QQFVb0Rm01Kg9/FhluYu/PjyM\nm+5ZEWWsX38yn00/+fj7T5ks+trF2deUMWBoDR6vHvFTmxcwqSr07GPF/U85e2uMDl7TJGkZIf79\ncj/OvXQzHo8RszmYRrzGbMlTvtPNdedPZOBB1WTlBFi3MiPSAiG/h5UTMHSF2d/k7dKc14nHF3HT\nvcsjG112boBrbluFEHK/rzDdXdrLY38VeA54vZ2Od8BTJ824xt2Qkkoz1jvsEickApYHnaaoUSGU\n1kgVCmmKgiGtAR8hJBrgEIKAlDGbhA5JHb+pUW9A1eCQ8WUoisQ0BauXdQn3X4k+nq9O4Yu305G1\ntRi1tYiMdNSURp13TanJ8uIOqjh0OJpsJPFR3G4MquI+JpwOjPIKEPD1Bzksnns0hx9bgqYa/PS+\nwo6tDSEPwZxPU5jzRTo4HLhEPWlddF6etRq1WWvcUFCwYrHVwiGve33UVKSmFG1L5cl7R3L7w0tj\n4u2qBt171yfxBrSEiGn/e95lG7jgig0grEZtV9yymqkPDee7LyzppzclxBW3rGHSSUWoqmTerBym\nPXUQO3dEt0NoXgELlvLm4mvX24a9FdrFsEspvxdC9G2PY9lYmMA2I0RP1UpsifDvak2D6jihlZYc\nr7Y4ZX00JylhCaMpJbmqhs808ShKxHssNXRK4mwurZHIk5eysb+5YSg8+ofR3P8XK3mqOUyKC5z8\n7+UcvvuwMVEmq6qRbjeiQZWjqpGQR7vicKBmZVoafX/AiqUrinXX4GhMOgpFQcnKxCyviH69qiBr\n6yIXKH1+dpbDjJVOcDggGIw9p2mC308AhYDPycevZ3PKr8vwpIQbfhkQCKhMf8sKiSyZl8W4o0pj\netWoqmTtigxCQQU1Tngr4FdYOn9Xh4rHp9+gas6/YkPMWm59cBnLFmVSXurmzy/Mo3f/msis2cOP\nLuGgkZVcddbRUd06c7v54p6jS1YQRTWTaj9woLLHYuxCiKuBqwG69Wg5EWVjUWUa1JsmmYqKImgx\naVptmmQq1nDqpgisJGoyZChqxKgDjSETRYlSvuSoGkEklUkeVwV6aU4UYrtDSimZ92PXKLXLsgXZ\nXHraJCaeUMz6uTpr5rvDdjF62oUMBBBea26qkpqKWd760I5WEQJSU1BdblAEQtOQUmKUlUMoFDHQ\nRl0dIiMDNaVxbqvidiPy8yzjb0qkwEreJsqYxjPqDY814cUHurNtg4tzriklrYvBkoU5vPbcYMpK\n3OR1r+fcSzbhcEbPb/XVq/zwZT7Fhdb6vvzIqm5tiMPrIUF9ncan77dvvHrSSUU4HLF/o5omeeHd\nH3nu0WH06F0XNUBc1awcyvGnbmPBT10p3+kiGFDZUeihZ9/YO4qKMpdt1Fuh3SpPwx77jGRi7Hbl\nafvhQJClqnhQ0AS4RGMEXgLFRoiyJA1wH9VJehxdejx0KVGwTG29NMM9ZhKUo2tO3EKJCsPIcEjH\nQLIhFOC2CWfFvM70+2M94CYoXTJQvI2GNa60MRkUBRQFoaooqSmIZpM2zPp6zKqq+P1J8vMQCQLV\nRmUlsj6+17mrCJcLNbvRy/7bOz/Sq19tVPdI04SP3+3Fi08eHNkwhZCcdOZWfnVhASmpOvN+zOWt\naQMp3+lGCImqyaRaKLfG5Tev5qxfb44buzdN2LHdQ1Z2AFec/vS6LggFFYSQvP9mXzasTuf2Py2N\nqVJ9/rGD+WpGz91e676IXXl6AOAWgkEOFzmKRpqq4hJWuKTSNKiVBlVhuWOyIrHEac9YVCyPXgiB\nVygM0FzEawPmQsQY9QbqTZM1oQA6MGX2dLaf0y/qcVnXcvxXuN3Ra0pJQclquXVw3ON4PWhdc61C\nojjjk6TPHz+OJAQykdcdfrxdEQIlw5I3SsPA4S/l+uP7cUb/ETx8VR/KS8JtkBXo1a8u6i5ISsFn\n03vz2B9Hs2FNOocfs4P7n5nPPU8u5N3vZvL+j1/wwn+/Z/S4nbu4OIknRWfW13kEAwkUXQrk5vuJ\nI+hCSsur93gN3B6Tsy8uIDffz5P3jqRwixfDEBQXenju0WEHrFFvC7bHvg8zQHPiVaI97IZ+LRJQ\nhcAIe8brQ35ai4qnCoXecbTzzYlXlNTgga8J+aPSni0ds9Y02KTHGsY7w967vnMnBGPL/gFEaipq\nevxmYzIYxKiuiQqdtISSmYnicSd83CiviK9TFwI1KzPuZgAgQyGM0l01lLEoWZkobrcVGiopjcop\nqJpJTn6Il35cg8MpWb8qnZsnT4h6fd+BNTz58hxcbiPiUTeXUvp9CndcNZ71q5Ofh3rEMcVce/sq\numQF0XWFgg0pDB5WHX84SkhQtNVLt571kRYFiQqdykpd/OaUY5Nex4HAHvXYhRD/An4Chgghtgkh\nrmiP49okRgCeOFp3IYQljwt/U1Qh0LD6rLdGrTQpN3VMKTGltDYFKa3NoiH5l8BQWjJMyGt2Hl8C\ndY8pJXVmrOtmmtDrrmKMysrE2VYhUNISK2CE04mWk43WLR81r6sVh0+k6xMC4U4sxZNSgjPBeyeE\nVe+faB0OR+teuyPJdsdCRDYQK4Yf/d4ZukJ1hcacL9IJ+BV+nBnrOE3+7dooo95wCU1xOk3Ou3xD\ncmsCRh5Wxm0PLyEnL4DmkLg9Bn0G1LJts5fm0n7TwAqvXDmeH2fmEwqJFvPdGZkt3A3ZtEi7GHYp\n5YVSym5SSoeUsqeU8qX2OK5NYhq88ng096aFEKQpycXOiw2ddaEARUaIQiNEjWlYapgmjb4SIYQg\nvdl5DKw2CEaTDcGUMvL7ppgmvHbtYArv0JH1PmQogbeekd5qn/jIc1UVxetJ7LlLaXn2Mb+WGD4f\nxs4yZE2C6lWH1uodgUi0AQmB6JKBmpVpbTqJCxfCdwZZjdes63HP66tX2LjSQ0mxJ+5kqSHDqlrV\nrSsq9O7Xel8csKqIb39kCe5mnSPdHpOu3Xxs25xCfZ2KlOCrU6mpdvDU/SOprXby5H2jOPOIX3DG\n+JPYVuCNe/zN65Jv/2wTjV15ug9TaRp0aaYNT9S7pS0EkZSbBg4EPR2xRU8tnSfe1NRiQ8cvJdmK\niiYE1aZBqaFjAPWVKlIKUjJ1Vn2VybofMwiGuz1GHd3tChtpb5TMsDWklJaGvAUDbJSVW0nQ8PXI\nUMhSwcS5o4giEMTYWYaam5PwPVdSUjANE1lXZxlpKRFeL0qTzUntmotZXw+BIGgqSkoKSIkMBC1l\njtsdnaDVtMixmuJ0SVavzuaDCw/GV+ZDBoMITUWE37OSYg+ZOS17wYYO61elt3zdYS67aQ2ZWfGP\nZ5oKj/zhEHr2qWfA0GpKi9z8MLP5fFTr+qc9eRB3P7kId1giaZrWNKdpTw9Nah02sdiGfR+myAjh\nFAIvjRpzXVrFRE2NsSmTlyY2xSlEwuHWZlh8LpqdpzzBvXVluIlYA2VbXLx180AKl1tFRvmDfaTn\nByJGvSmmR0Fze1A88Ydlt0gwuTi7DAQQDfHrZIx6A4ZhGdAEcXYhBGpGOjIt1YqJq2qMikYoCmpq\nKjRz7hNtYMLtBqUmRrcfDDlYvDALs3Rno24+SESZ89BVfZn6wQpy8hrvlJrHt4NBlX+/3No4Pktl\nc/JZW+MOvGigtNjD9i2p/PxD1xaPtXBOLvdcP5ZfX72OXn3r2Lw+jbemDWRtO81ZPRCxDfs+jAls\n0oO4EDjDVaEGkv5hhUrDsLaglBQZseGGprLIeARaiI9XhtsINBRECqy2wjuTKFzSA4LnzhlGbZmG\nNC3LULjSy451HhAmyGhr4VGDXPTEHB5bcjnd30vc6zsesmn1U+InWdM1IOmEa9RrdR3iqWl0HbOm\n1lLOKApKWipKG+42EiGEQM3JxqyqjiR1hduNSE/DrKxKuP6dBXDXBYN4/vPVkf4xdbUaoYCCN1Vn\n7coM/vn00KRG3WkOE4cz/uYnJbzzUn9CweTrVVYtyeSe68cl/XyblrEN+35AAEmgyZd5nR4gVSi4\nhMAvZUxRkwb0UJ2khT1HnzTZpocINDPxDa0CmrYCaFDdlBgGIUMnRSg4hMAvzYQ69uYs/zKTYL0a\nMerWgQUIE0UVNN8bhIDBE6t4/YSn4feNqplkEC0kN5ti+nwIlzNhcjjxCUTcdgNS1y1FTGNJLWZF\nJTItDTV190feCVW14vNhjLo6zJLYSVRNUVTJQ69tQAgZ8dI9Xp1Q0MmFJxzXLEzSMqGgSuGWlJh4\nvJSwdVMK/32tf/IXY9Pu2Dr2/ZRaaVJmGnErVfs7XKSFq0mFEHiEQn+HK+4fwzYjRKmho4cVMrXS\nZIMeIBTeBOqkSaVpJG3UASq2uQgFYu8F9IAavrWXkf9Up8ll/1yDw914/AbNuzRNZCiEbCFsIhQB\nLUgZIwQCliHW2uhRa2pcZYxZE6fiVEpkTU3bN48WkIaBXlKaVGHW+BOqycjUoy5RVcHtNjjqxGJy\n83ykZSSvRPn7lIPx+5RIREjXwe9TeeKeUdgtdjsX22M/wEgVChrR80uFEAgpyVTUuFWqJeau9YZJ\nRI8RiVQXEiMoaGoUFMUkNTs6jGSEBGeUTeenknxr9rKU4HIhPG4UtydmFJyano7ha3lQhnV6EwJ+\nREY6srJZQy9FgRSvFbMPBCxP3eNGSY+v0JEJ9PcA6IalqNlNpJTWZpRkPqBHvwCOONOUPCkGV/9+\nFZomEYpk1ZJMnrhnVKsdGZcuyOa2yw/n3Es20mdALWtXZvDfV/uzfWvydyRCSMZOLGX8USXU1jj4\n8sMebCvooGZuBxC2Ye9AFKz+KxqCWmng28ODw73hLo2mtJKXISTOBOoNVQhcIrarYkdQX64hzXjj\nOaC5p2eEBJ892ZOqHS52bnKTN9hHel6QlV9mIswm72cggAwEMES1JQ10NXrRQlURXTJijXVzpGWQ\n1S4ZSIfDUqqYphW/drvjFmURCmFKiXA4opOiqhK/KZmUmD4fivAitN3rmRRPz94SG1d5CAWVmNi4\nlJCS2rjWYaMreOT5eVx3/pG05nlvWpfOE/eMbtO6G1BUkwf+soCDR1sDtHUdTj+/gGcfHcY3bZiB\nahOLbdg7CK9Q6Bsea6cAXdGoNg22xklidgS9VAdp4VmpEuiqamxroZ+LISW+DhrI0ZzvX+oWx7DH\nNyCmobD8i6xIPH7Tzw5anKYjJUZ5tHwRQFG15LascLxcOByoGdHVl1JKKxGqW33SZXV1VOZZpKdH\n4ufC7UnotTe0HsbjBsO07pi8XoTbZSmO/H7M6mrLs9c0lPQ0lGbtE6SuW3LIZK5H10EIFs/Ppaiw\nhF59G5twGXF6smsOSW6+jyHDqzp09NzE43dEjHrDUjXN5Ia7VjDn2zx89bZ52lXsd66DaD7WTmD1\nRc+QZpt6o+8KaUIhTVEj529YRU/VwaqQH7808dDYv8UMq2lakkQKIEtR6aKoVnGRoVOzixtBfWUb\n/uyEjE6yRlbTMg3yxci/W5pw1EC4HW/c45kmxs4yyxIm2BxldTXS6UAaRvz5p80Jh4ckVhsE4fUg\nHE7MyiaTn3TdaoTW0E5A1y1dfjLX43Cg5mRHbXB3Xj2eS29cy6STilCEpLbWQdf82DCVlJCb52fN\n8viHPvaUQi66agPZXf1sXp/GS1OHsGJR21oAH31iUdyZrIYhGH5IOfNmtSyTtEmMbdg7AK+IN+PI\nCndktnHoxa7QpYlRb4rEGrm3SQ/SVdXIUjQElvKl2AglrmQFBmguXEI0tvIVCuW7OFh76LEVzH69\n9darDrdByL+L+f1mxlc44hf1RFAUywgmKM00q6qSMqZGTa0Vg28rUiLr6pHEb3xmVlUjXC5LY59M\n33m3C6VLl5jwUX2dg+enDOP5KcMAOP38zVx6w9qYgRYOh2RdgkKl084r4LIb10ReM2R4FQ89O597\nrh/LqiWNSh1NMxk1tgyP12DpgixCIYXjTy3koFEVbNuUiimtSFK8tzzYBqmkTSy2Yd/D7AmtgJVP\nTFyBKoEdhs6OJI1yF0XF2cSog7VJZSsaOw291eZiTakqdrDssyxMs0Fln+gdkRzyq1KWfpqNv7pt\nShXNaSCb68odDuteP0GbAqQEVUWGQpb2XNfBoUW8ZJlM8hUSH393MQyrf3trMXWHw2pnnKRefuaM\nnpwzeTOqFohMYfL7FH6Y2Y0d22NL/RXVZPK1cSYbuU0uuW4td14zHoCBB1Xy2LSfcblMa5KStAZ7\nCGG1HAgEFKQJoaASM5TD0BWWL2x7l06bRmy5YwdQn2DupyElFR3srYM1zi7R139XBlunicR3AN6W\nSg/j8O/bB1Bd4rJ06y1uc4L0rjrHX7cdh6e198x6t4UqcbgNfnX/Jh6b8z98wxsTcEIISBBmsQ4h\nMf1+qzeM32955z6/pT2vqU36+joMVWlR1onLidotHy03p01FUL46jZsunsCn7/WipNjNlo0pvDR1\nCFMfit+kNT0jlLAwqe9Aq6eOqpo8/o+fcXtMhGLdKCmKZdAbNgSXy/q5vk4jGFDw1avU1arU16q8\n+1p/BgytJnHpnE1r2B57B7FFD9KnSfK0YazdrpT2t5W6cJfGbMX6eBv84i16cJe+KiFMpFTi3gG0\n5WpCfsH6n9KRRuv3LU6vTm5/P4eeuZOQX+Hbad0xQmCEGsZ7NOJOMxh5ShmeDIMx55aSkqnz/r19\nyV/zI74cN/6tXawiopbi3kJYWvDdVS6papuUKskiUtMQDmfC9cVT7SRLdaWTF588mBefPDjyu179\navnluVvIzfMz78ccvv20B4GASm21I3y3FUtReFrTmCNLccaRVcZbXmp6iJsumsDgYVWMn1TCmAml\nXHD5BpSrJDt3uLn7+rGUlSRRh9AKKakhDhlfhmnCwjk5USP49kf276vrROqkyZqQv4nc0aR+D6lO\nwGq8VWOY9NAckZ4vmYqKzzDbLGgsN41IPL4BGU64JhrVF49EBiF8RJo2OZASsnr6EAJ+cUshx123\nnboKjc+f7smi/+UgJSiapYO+8tXV9D3M8qprSh08efJI/FUqhm7dTTg8ZdRkp+FuyWZ7vVCXXFfD\nFumIUIzXGxnBJ7xeZH2zOLyqonjid0jcFSYcW8zvH1qK5jDRNBg9rowzLyrgd5cega9eY/pbfTj7\n4oLImD2wwjdvvjAIgK4JZpUmYsd2L73713HI+DKcLonTZQX3uvWq594nF3LLbya0coSWmXTSdm6+\ndzm6Hm66psKUO0ft18lZOxTTgRhYRrHE1PeoUQfrg+3tcOIMV5cq4Za6/bSWi04aSBEKvVQHfVQn\nHqGwVQ9ihHu0G1ISRLIp1LZ+2S6vSa+RdQjRLLGpmqRkB2najDjkU/nb/w1nyjGjqCh0ojklGXkh\nzntsEzd/tJzT7trCuY9s5L65CyNGHeD7l/Px1zQa9YZjeba3EE5RlPYx6h2Bw4HaMDVJylh1j6Kg\nZGfFFGXtKqpqcvN9y3F7zAblJx6vQV53H6f9XwEAb08bxLuv9qOuVsPQBTt3uHjmoREsmJ0LwJzv\n4g/RaX6zEQoJFv6UQyCgcsYFm2MUMpom6d2/lrzuLU/Saomu3eq5+d7luNwmKakGKakGbo/BnVMW\nt6nKdl/D9tj3UzIVFUF0/3RFCJxYRrslT7uropGrapHXp0iFemmyKuTHIxSMZr1pmlJfqfLJY71Z\n8kk2QkgOOaOMU27fijvN+tKe/8QGnjtnGHpAIehTcXoN0nJCHHddIR882JeQL1oNsXOzm2fPGsbo\n08tY+2MX0vOCHHP1diZeuiPu+df+kIERjPVXrDFxCZK1HRA6aRdSvKhpjZWtZk1t7ABs07SklVlt\nkxomot/gGhQR+9m63CYTTyzm3dcGIKXgnZcG8u+XB+B0WonQpu9rabGHpfMzGTmmIib8EgiAoVt/\nmzuKPDzz0AjrUtPip+ANQ+BN2fWq56N/UYRQYq9HSsERx+zgi/+17zDvvQXbsO+nuIUSN+EpsNrx\n1iUIS2hArqrFKGC8KKQJherwhuBEkBEeqlEtDauzZEjw7NnDKd/qCsfCYfZbXZn/fg5Djq5k0lVF\n9Bxezxn3FbDg/RykKTjkjJ0cdtZOXr9+UIxRb1hxdYmTH1/Lx9QVitd42TQvjSN+XczIUyroNaoW\ntclfcWaPQLgVcLNr3xfzcIEgIqOxR7ysjX/XIf2BdunDD+CrV1HUBJt2bbS5kFIQCMSXJd5z/Tiu\n/cMKTjy9EIdTUlrsZupDw6kod9F/cA3F2z2sWtKFhs9p9jd5dO9VHxObN3SFgo273mLA4zHQtNjr\nUVQZFUra37AN+z6GANIVFQ1LfZOoTYFPmhhSxhh3idWzvZuqkSJUJBJNCBwIQkiqzfiKHjU8hana\nMMlWVPLDI/AEVlVtqaEzc2Y61TscEaMOIA2FQK1g6SfZLP0kG3e6jjQEgToNh8egcHkKvUfXojlb\ntrxms9DK9//szpx/5eFwSS55YS39xtaweX4aGfmJbq8bPPa2ITK7WHFzRUHW1u1Z717XrdCLlFZx\nVEvEGRwqTdNqixAKSze93oQ6/QYKC1IpLvTSq18tahOb7atX+eg/sVOZEmGaguenDOf5KcNpfqdU\nsCF2MtIHb/Xl2FO2k5kdwO0x0XWBHhL89U/DWq13aImff+zKmb8uiDXiEuaHQ0f7I7Zh34dwCUF/\nzUWDUFACftNksxGMkTdWmgZdVQdKE0/OlJKANOmpOVGwQjNNPT0ngqwEsdqGZKkbQb4aPVVJYHn5\noVIngbp4f1KNz/VXa5F/h3wqIZ/krZsHcfofC1gxMzNuGCW+LFIQrNMI1sE/LhlKj2F1bF+RQtDf\nvpUCsqIS4XahZGSAx2PNYk2mlL89CBdUGdWtqHU0LcZgS123NoOGfvR+q3hKzc2J22a4KQ/97lAe\n/fs80rsEkVLgcJh8/N9ezP46XuxcctDISo48vhhDF3zzaQ82r29uuON/Jn0G1HDO5E307FvLyiWZ\n3HfTYRx2xE7GTNhJSbGbGf/pE3cTaAtrlmfw3Rf5HH1iMS63ZdyDAZWP/t2b7Vt2v33y3opozxai\nyTJspFO+PSN+gsUmMYMdLpzNOjM2fH5FRiimM6MGdFMdpCsqEqgwdVQEXRS1xdv2eLf1DW0HVERM\n7L7hNYuXO7nvrCFxpyC1hOo0uemDZbx+7WDKtjRI25qOAWnZWCuaCZJWPDtJz1G1VBe78NdY6zMN\n0AOx8sm4CGENtU40kUkNHyeZqtBkURTUvK4YxTtaNOxqbg7C4UBKiVlXZ01MStT6IDzouzWEkBw8\nqoIu2UFWLelC+c74ksPf/mElJ5xWiNNlWONjdYW3XhzI+2+03I/9mFMK+d39y1FUqze8rgv89Sq3\n/OYIira1t8GVjB5fxjG/KMIwBF9/0p0Vi9snJ7Gn+azw2QVSyjGtPa9dPHYhxMnAVEAF/imlnNIe\nx7VpxIkVLok3qBogX3XgkzJKfaOD1XSsSeOxoQ5XUrFYXcqIuWv4v6OVYqSug3w4PSZBn4iZgtQS\n0oSXLx9KTWnD3KemtL5WU2+t2MnC7TW46aeF7FjrQSjWhvLYMUl2JpSyZU/dMFG65rY67CJpBI0t\nAVTFaggWD6czOkzTmqMWDCaMxzd40L0H1LJ2eQbvvdGvRQM4ZHglJ5y+LaoKVdVMJl+7nh++6Ebp\njvgFYXnd6/j9g8uIHuMq8abqXHbjWh6945CWr6HNCBbPzWHx3Jx2Pu7ey27LHYUQKvA34BTgYOBC\nIcTBLb/KZldo6SsrgGyldU9ZT+IGTUeyKuSnQA+yVQ9SkUQvdgnUKTrX/3c57lSzhdU2kzoqJpk9\nAvhqtCRiqY1yyLYj2DgvHUWBbkN95A/2sWONF2dK+3nY7WLUnQ5Eagpqbi6K25KmKqkthCOCwcZw\ny27cfY84rIynX/2JY07ZzqCDqjnpzG08969Z9O5fk/A1RxyzI24hkmnC2ImJ34vJv10ft1hJUWDk\n2FZyCTZJ0R469nHAeinlRillEHgH+FU7HNemCUGsUEgihBBoCTzxFKHQX3NykMONwAqrJMKUMtJD\npk6a1EgTR5NOkE2R4alK1mus0XqlmzyYRiIPWuL0Gjg8BqrDxJWqk5ajM2RSJcG61jclVZP0Pqwa\n1dFoTJxeA2ecDoHxaL7v6SFBwt4LnYSalY2anh4VB1e8HkR6mhUOavgcdnFQh/DEr1C9/s6VuD1m\nJGGqOSzVyBW3rEl4rGBQCX/W0UgpCIUSm5aDRsbKIBvwtzGMZxOf9gjF9AC2Nvn3NmB8OxzXphlb\n9CD9NGuEXfMvpyFl3K6RqUKhj+aMGGZNiIgxboheS6wdXkdSbOgxbQ/qpEmqjDXuEig1dMp1g/Kd\nGp50k7U/ZCSIsUs0l7V8XoAAACAASURBVMkxVxfRf3w1hStSyOwR5ODjK1j6aRaz35Dh/jGJkUJS\ntCIsfQvP7ex7aA29D6ti5tTetBSOEYrJ6NN2ArBjvZsti9KoKtEIxpVYNlzdnmjZ1uysAT/C4wn/\nHMT0WVWcitcD+XmRBupmRSWyTe3XsJQxzXrMA7hcBt17xxYBKYo1dCMR33/ejXN/sykyGLvxdZI5\n3yWu6iwrdZPfI36r4LYob2wS0x6GPb5r1vxJQlwNXA3Qrcf+sSt7hCBH0XAIQa1pUmbqHTJ/KF0o\n5KkOHEIQlCaGBK+iRJKYhpSEEjQY69ZMwQKWGiZgmmw1goRk6+ah3NTJUTVEM4WNCQR2uHntD71Y\nNjsNISTdDqpDdRgYoeafsUAPqHzzQneK1ni55O/rGq+vazIqE4kZUjBDTRPHsH5OOgef2NrtuyS3\nv5/T7yngjRsGsnJmJkKBkK+lxOmeN+oAZkUlwu3GrK62kqDhuyujvh6cTtTsLOszcGhtaw8sBGpO\nTlxvPRRS0HWBGke/XleT2ERsK0jlpWeGcOWtazAMYbV5UCVP3jOSmqrEQ8TffbU/A/68CLen8XxS\nQtE2D++/0S/5a7JJSHuEYrYBTcu3egLbmz9JSjlNSjlGSjkmM2vf72SQLhT6ay4yFJUURSVX1Rjk\ncLe7frSLotJLc+JWrIIjj6LiVRSKjRBVpkFNuJf6ej0QN1DjSnDP6xQCXxJGHaxoxfqQn3LTICSl\nlXzD8v57djN44B8FjDu2mpBfZfvKlBZ7woT8Kqu+zqR0U6PKoq7cgTNhsUjTkXmxxzV1wUd/6ovD\nnTimIlSTUaeWsejDHFZ+lUnIrxKsV8PVqHsfZl0dsq4+NmYeDGLsLMPU9banGjQtYdLcNAUzP+xB\noFnve79P4YO3+7Z42I//24fLz5jEtKcO4u+PH8wlpxzLT9/mt/iaeT925ZVnh1Jfp+KrVwgFBfNm\n5XDjRUfutZ/JvkZ72KF5wCAhRD+gELgAuKgdjrtX06NJeAMsLxgpyVUdFLXj+LvmmvGGc2UrGkKA\nhiBFVXAJQbGhx3zfdSSOOAYx2TsLBfAIBRPJdiOEhlUg1WAkFAXcXskNfy7kp88z0AMqqsPEkaIT\nqFOQcRKiRgi2LEoht591O95rVG2CxGky4RBh9YWJUwYfOYqhMvedPDzpeoLq1r2M5m0DmhIK7VKS\nVkmzErDSNJFhT1+4XBH9+z/+MpSMzCDjjiolGFRwOk1mzujRqmEHqChz8cX/erZpPTP+04fPP+hJ\nt571VJa7qK5M7OHbtJ3dNuxSSl0IcQPwOZbc8WUp5YrdXtlejDOs5W6OIgRpikJRO8VjBIk/oIbm\nXg1kKRoKgsJmm0qJoZOvOqIqUE0pKU1i88lUVLqrjshmoTfo2ON4fmkZBhnZOpU7Haia5NQ/FDDz\nbz2oKnLR3DhLUzD331057GwrhJLVM8hhZ5ey6IOcSMxbdZoYwf9v78zjIynr/P/+1tGd+85k7vsA\nBhguRRRFEQXxAvHaFfB2dT1wZX+sigrqssKiCIqgKLiLi4osO4ICiqCAMILcxzAXc9+ZJJM73V1V\nz/P7o6o7fVQnnUkymWTq/XrN6zVJd6qe7nS+9dT3+HxK3L1pYbjGnd52a9jnjJqhHJpGgmUBB+DC\nVASjrg6jLI7X1+dLE6cRwaivxyiL46RMvvPl42lsTtAyc4AdWyrpHiKdMlbMmtvPsqO7eOGphlBj\nj4gDY0wyB1rre4F7x+JYkwEPXXQf6Y3hwJfGT4OUssc0Atu9ds8lkbVv71AeBsK0QNQrXfBsG0YX\nvlyEmXl3C4YeOgPQ3+uv1HOFu68oFPQaRNj6bDUDXSbltf46zrtiM/NP6OXR/2phoNukdnqKXWsq\nSPYOTqoWRRSLT+lm81PVRQeOlGvQ32Uhosftdt+cHgzdKYXXPwBpbZeRfCYqKjAqK/F6x05t0qgo\nRzlOblAP1qX270dapmV27smkwYpXtfPRL6xj354y7vrlfNatHntD68VHdPHvP3oS09SIoTFMuOeO\nudx87TImqr4xlYgkBQ4AD79TpDKvDdDTetiAOVJaPZeWPFGuoQSfFthx1jqJnADcplzalIsVrL2U\nMNOYp78OfqE23eKYvZ7kgPDQb+tIJQysuIfyZNiUh2Fokn2Dgb1zV4xda8oxbU1PW4zuvXHclFHS\nau245txvbSFWrnjk5uk8dmsLWkuOvgwEejOiseIebtLkwDpfsnP+g+S0EZomVnUVuqoSHBeVTPg6\nMyUEeKOmGjEMpKamNEPsElGdXeEPaM20xk7ecf4+jjx2P0uXd2KafmuoOhpOfkMrP7xiOQ/9YVbO\njy1Y0s05H9rCjFn9PPdkI7+/fV7ODn/Bkm4+8rn1LF3eRVtrGb++eRGPPejn3g1Dc9m1T1Ndm3sL\n9bb3bOf5Jxt56rGpq+FysJj8VcwJYrubYkArf9Q+CHZtnjvmRtVtyvcm9YKipaM1A1oRJgUh4qeI\n6ooMKrkUhskKMagMMd+2iqRcNL75dfp1ewpWP1fGLVe3MOPIPla8o71oj3I25TUeNYFg187VFXzv\nzBWs+sV0tj1XjTNgBEEdhg68msrGFBfeuIFpixLUzUzxrq9v49LHnmPZGzoRI6SgqmHhq3uIVbhF\njj3cEJTkPC/zTNMs+J2ICBKzMaqqkIqK9DeHOPbg0c2qSqRqDEbr0+sqYgBi2YrFC/dy8qk7WX58\nJ5Y92O9vmL6d3b9++0Xu/Ov9XPT1F6mqdjj5Da1895bHedPbdrH8+E7e9+FN3PCbR2lo8msm8xf3\ncPXNT3DCKW3U1DksXNrDly5/kXe8fyvgT6yGKSuWV3icde72gu9HjJxox36AeMAmN+WP+ov4QX6c\nzpXecact9ioxWGDHQnfupohvPI2fd68xDDztHyNbg71SDOZasZzQts1NZTxRu7VHZUjvugCtnsMe\nz8ESwdEa+8QBvvZ4BwB//00zL97XSGEK398di6mwYpr3XbUpM1K+8hvzSeYMKJW2ixZT87VVz2LH\ncwNqzTSH49/dzqYnaknmZTRMWzPvxB46d8dofaXw4y+GprLBpbdtqPyyFPxP9fahkynMpsZQ2Qez\ntgZdXQWui7e/s6imjNfZmRlQMqqr8cK6Y/JXUxZHWxaEpG+M2pohr1OuY/DoPbU883AVP35gPdNm\nF14A0gbUb3rbLpYu76S23smREYjFNYbh8MGPb+SGq5Zz/qc3EC/zciQDyso9LvzMBu67cw52TBVN\nh6WFuiJGR7RjHyWpwB7uYAwwKiCOMM/2g06oB6nWJJRikR2nxbSoNExqTJP5VoymYCtWLsJ8K4Yl\ngpn1b54Vy1zp96tAYz0IKpkpUzRL7DKW2WV+Dj4vCB9zZkfo2g1TM2dFDyee28bn/281R76pMzgu\nbH3mABX8tBQNWsvPCB+sMUzNSe9p47Xn7y0wyTZMxdzj+rjg+g2YdqlJKx8BcBz0EHoyYhhILIZU\nDaEvnkji7WtDu65/QWhshHzFTdv2i561tZjNTZgNDZjV1UhNDZloappB0bTMX9wQcr1aCYl+g9/c\nMLRVnB3TtMwcoLKqsApt2TojI7B0eVfo6QxT0zgtwdoX6zBCzC8G+k0e/sOMIdcQURrRjn2SMd20\nQydPwe92cQJ99RhS0I7ZEig9Vgwh5jXfiqPQ9CrFFjdJjWFSa5gorak0TKysny3HYKEdY50z2MFR\nXuvxsZvX8d//tHRQulwLH/rBBo56c2fB+UTArlBDSwpIumqb/Zo1s4/pxS5iZBqvVHziv9ZyyyeW\noTz/Jz1P+MDVG2mcm+S1F+xl81PVmWElEX+nfsH1G6ibmSJWoRjoGmlrpMbt68Tss/1cuW2HPsus\nrMDTCt1dRIdFa1R3D2ZDPRKzMVta/FSK1hCLhf7uRQSzqhKqKgvu5EQEo6YG1Vn4/qfxXIMXHx8+\n9WOaCtMM3233dPuvt3V3OY3NhV09pqnp2h8jlTT5/jeP5kuXv4hpaWxbM9Bnsv7lWv5y38xh1xAx\nPFFgn2RUGkZ47ltrOoNhpbl5PfZpBD+nXqzwKkCZCCIG5WJQb5q84iTpUB5NhkX+PtMQwdTQYlhU\nBFu0TuWx+JRuLn/6aTY9WY32hAWv6i4agAFO/kArf7utJehoybwiAKy4ZtqiATp3xUgNGLhJEyuu\nsGzF+67cnHn26j/V88drZtOxI07LkgHOvmQbi17Tw+VPPc2mv1fjpgwWntwdqE8aWHHFBde/wvO/\nb+DBH82ip81m5vI++rssqpocBroO5E9DMJIKLQm8tiAtExLctdYYZWUo00LvD7+z0MkkqqcXicfA\ntpHYCFoP02YpWZ8VKS9DvGp0X7hZiIhmxrzcu40Q7w5c12TrxkrmL+7BzjJHGeg3WXnbfAB+9bNF\nfPWqZ3PSNYkBgwfvmUUy4b+vjz04g03rajjjnTtpnj7AtOkJlh3dxa///CCP3D+DW65bRl9v+IUx\nYngiPfZJxlI7Tjxkx6205uWgG2aOaVM7jOZ6KSitM8XbmaZNo1kY7HSgOZO+kHiBdPAWt3QzCjcp\nXPmmFXTuKux5r5uV4JR/3MuDP5qN5whKCfNO6OHC6zdQ0+Lng5+5q5E7/m0hTmJwh22XeXz8lnUs\nfu1gZ8lzv2/gd/8+j+59MWJliuVvbefF+xpxEn6LpIjGKlP8021ruOH9RxV01QSvuGCN4WgGFlRT\nncxNM+lUys+xK1VaG6QIEo9j1NcN+/vUnofXsX+wUGqamPV1IILX3jF4vpDzxssU37l9I0ed1O8/\nrCGVEmxbZ6wHHUfYu7OcSz55Ml/77rMsXNqN6/rDTHffPpef/2CwVfH0s3fyiX9ZmymS3n/XbH56\nzRF4eYNodszjpjv/SkNTMqM546SEHVsro0nUEErVY48C+ySjIbClyx440lrTozy2BhXL8sBpKWzX\nXoxiLZQDSvGKm6QuGFYqsNoL+TlPa7a6qSENs/O57MQT6Wsv3KGJ4Rdbs4O2GfOlfutnJjn+nHbu\nu3oOPa2FO9rZx/Tyxd+9BMDah2r5708vzTlOsSA974QeWpb08ffbW8hP/5i2Cqz/Sgvu+z56Ei33\nbodEEuU40F8otjUsIhh1tRjlufrmWmsIrPO0ZaH2tYUXZdMDDCHrA18188Q39lDb4NLbbfKl721n\n1UMz+PXPFvPZr6zmhFPa0QpW/WUaN161PNPWOHteL00tCTatrwmdHDUMTW19it4eCycVntZ641m7\n+OxXVlORJ5/c32fyH5ccz7MlaahrKqtckkkTdwhVyanAQTXaiDg4GICjNf1KURWkPiSYQK0yTGq1\nokt5DGh//H9G4EtaLCefJr3rDntGWiq4S3k0mxaiB3fnSocPahn4KaM+r/TAHiv36CMkbaEk2FFn\nrSll0La5nLbN5Wx5pjoQ8ypk74bBQPiHa+bkBXUoFpy3PVdF7YxC9UEQKptS9LXHS56KnXHbE7gp\ns+i5SkJrXxAsK7Br1/V34em0ylAbtCIPzV6U5JIfbGXWwpQvTxHTPPK7WqpqFI89MJ19e8u5/Isn\nBUNdZF6DaSoMU7NjaxU7thYvBCsl7G+PD/nSFizpKQjqALatmLe4Z9jAfuxJ7Xz+0pdonp5Aa+GR\n+6dzw5VHZVI+hytT+/I2hWgwTI60y5hjxagKcqeSVxydkZUq2a881jgJtrgpChVkcrXUtwY9+fl3\nb+nefPBjw0YnSbtySWlFUim6lRfaDaQZ+QTuKR/ai53X6mZaatie+KEGobKNrdu3Dh1gstEKXrin\nibBg3Nsa5/h37fPt+AZ/gvDoKbipEiZnR4jWGq+9fdD+7gDuukU0V92xiSUrElTVKiprFPEyzRnv\n7URrmD578M7CT4cINXUpLr36Gf7v0T9x51//xNU3P86c+b2jei3bt1QyECLz7DgGO7cOXcydt6iH\ny77/NDPnDGDbmlhM8foz9vCVK58b1ZqmAlFgnwSUi2Tkd00JHxwCMBHyy4/9WrHNdTJDVOAHXQff\nHGOdk6BHK7aFDFzt9Vx6stIpCtjjuaxzkqx3kwW6NNnnzdd0H47TPrmbI0/vxIp7xCtdYhUe0xYP\nUD2tFM2UwlyDYSrectGOzNfNC8N24EMdr4gSoidsfLw2y2DiIKQyBaQiKw2TSoEa3XmXv6qPyhqv\noC1RBEwLTjtrT973NVfd9ASvOnUflq0xTTjimE6uvuVxqqoPXPTur3+azkC/iZfVQek4QmdHnKdX\nDT2Beu6HtmDbuVuLeJni2JM6mDbjAFJeU4jD+35lktAQMt4fRlpbJp9+rVjnJKgzTGwR+pTKCdjg\nT6VudFPE8Z2YShm4UsBmN8m8wPwjvYZtbmrEuvSmBRfesIHWjWXsXF1Jw+wkFfUOV72pFE/SwkSS\nGFBRN7iKt39lKze+f3nB8w6Ert2xLFOQ3EnUMdc5CYqnUjYoc6xLLbwOQWX90Ovs780NDcec2EFT\nSwI7y1TDMPyUyelv38ndv55/QOtIJiy+9JFT+PxXV3Pcye1oDX//6zRuuPKoIeWfAeYs6CWkno/j\nGLTMHKB19+ErKhYF9klAMUXFbJTWtA8hX+gB7SXsopNokiMIGgNas9ZJUB6sb2CUAWfaogTTFvm7\n6198bvEBH8dzDJ68ozkzCLXo1b2c9qldPPLTmVmdFiMPxFZcBToz+aTvGsK1ZHKeaSp0UfvAgHgM\nIxZD4nG/3TG7L30krY/5xGIYFeWs3dyIYWwKfUoqKdzzv3NZtryTj3x+HQuX9ZDoN7Hswkt9Wbli\n3sIDT8csXNrN8a9p428PT+O7lx1DT2es5E6YNc/XsWhZd07bJUAspti2aYghsMOAKBUzCejWXmjO\nOjtP3h60JU4UA1rnBPVaMZhuWNQZ5gHvYbc9X0kxPRfD9D1TrbiHYYVfTDwn92ff+dXtfOSm9cw+\nppfKhtSQ5hzZ5wI/FWGXe5mLTjFe9YE9QzyqsWKKGUsHiFUMfW6jugajutqfVM2XKDBNsEauK2/U\n1WE1NWJUVNDXG+O/friUZMLI6YJUCu761Tx6Om3+48d/59iT9lNV7dLUkszZracZ6DdZt7rQbm94\nNF/42otcffPjXPCZDXzii2v5+d0Pc9yrSzezXvnLBSSTZk4jUGLA4P67ZtO1v/SaylQk2rFPAjqV\nR4NhUobvopTuYkm7KI1s+B2qxcjo22QHYxNf1bHKMHCCHvawHbgJ1BsW5SIktKYjyxLQApbaZTk7\nhhmmzStOEmcEq3STQtee4n+cb/rMTirrPf7wvTm4ycLgH6vwOOHctpzvDXSbNMxN8OlfvUxZlWLr\ns1X85PwjSfUN3b5Y0ZBi2eu7ePNnd7F3Qzm3fWFxEWMQaF1fvOBnWJqP3bKWxa/t5vdXzOWvP5+O\nViHHMU2MWPhwTlrQSywb7Q5/B1Ze6fGWf+ymZ6CGVQ/Hc4Lg3bfPZ/3Ltbz9fduYOaefjetquPPW\nBezdVcF/3Pj3nAEjGJSbT19nXNe3znv4jyOXAXjVqft4w1v3ZM6Rvmh85apn+ce3vLmktsX21jL+\n5cJT+Mjn17HipA56e2zu+tU8fnf7vBGvZ6oRBfZJwmY3Ra1hUiMmHppkkCOPi1Fyv7iNsNCO+akd\n/IvBQDBMZABL7LhfgA0uHjWGyU7PySmE2giLbT+nbgTG2M2mxUYnSRKdeSx7l2lqzVzLZuMIhpZ2\nvFSJZStSIX/ghqU54/O7+NarTgwxzvZNs5e+oZNjzvJ1a5QHKy+fz5O/mRb0oQunfngvZ395G195\n+Fl+euER7Hq52N0B9Hf4QbZmWoqWJQM8e/d+XvpjQ8jzBdcxEMPvrMlf15LXdbH0VH9g6uxLtrNv\nSxlr/1Kf9dzgeBUVofMB2nEGB41KTHmVVSg++81tDPSbnPnibr7+uZPQWmiZ2U9VtcMra2r53jdW\nFPzcwqXhksHKg/4+C9PUPP7ING65btkBtRae8Y6dlFeEX5iOOaGjxP512LW9kv+45IQRn3+qEwX2\nSUK606QXj0V2nFrMTHBOasUmNzXsfniOZWPlachUYNAc2OyZWY+lJYBnmjZdyssce6ZpYzIYuNMX\ngZmWzU7XCZX7FRHKA7mw/DWue6SW+6+bTcf2OLOP7uOsi7cza3k/sXJFsUA797he7vrmPJJ9Ybs6\nYc6xfXz4xg2IQOvGMn764SPYv8Ofak3LFjz2ixaqmhze+KndfPpXa/j2Kcfj9If1m/tfv3BPI7vX\nVvKl+17gg9/dxDf+XIfKM+y24oqjTt/P3BW9PPHraTm7esPUxCs9nr27kWPO6sCKaz5+83o2PVnF\nTy88MrcXv7cHpRRmbU3mW1prvLb2ERVNLVvx2rf5OuzlFR5HHNPJaWft5p3v38qCJT24rp/nv+HK\nIwv01lv3lFNdW6hl4zgm5595Om7oVG7pFC8ZSahAWMTIiHLsJSL4veTzrRizTXtIIa3xZJYVw8Zv\ne0y3P5aJQUvQHmDgpz6OtMs4yi5jVhCI096lYf6p9aZ/JxA2qWoANVk9cVUhWjUiQmWQ3hkJz9zV\nyH99ailbn66mpzXGmj/Xcf17l7Pt+Uo6dsYCH9PcP3K73GPvhnKevKO5aDqkvNZFxLfD++G5R2eC\nejbOgMnDP/VTCF7KQLtDp2M816BjR5yNf6uhrNrjrC/tyDHgNmOKijqXUz+6l3O/tYW3XLSD8jrH\nfw2iEQNeuLeJO768kGvfeTSJXn/tL97XgHLzCqkadF+f3/2S/laiVKs8//0qq/Con+Zy4f8bzPmX\nV3h86ktrWHxkF/EyRWWVR2WVy+cvXc3S5bkCYb+8aTGJvMGvxIDB726fO+qgDvDne2eG9q+LaF54\numHUxz/ciQJ7CQiw2Ioz3bSpNkzqDJMFVoz6IoYW47mO6hARL98Wzw/sC604DYaZkeStM0wW2fEh\nC5iChA4xgR+0Z5mxzMWhGBpIFEkJ6aBvPvsMSsHd35qXNw0qOAMGP73wCH550RJSfekbSo0ZU1hx\nRdPcBMk+E88p9t5rVrzdL8A98atppBLFA3Z/p3/8gW4TMYffJSoXWjf6/eSnf2Y35/9oA4tO6aJl\nST+v/+huvnTvC1TWuxgmvOULu/jWs09TPysJWgIZAkj1m7RtLuOhn/gqhpueqMk8lk1Ztcu292el\nI5SilErKiW/q5U3n7ueT39jFTx9aR13j4MXHdaCyyvUtVbOIxRTv+uDWnO89/nALN/7nUXTut0ml\nhIF+k7t/PY9bb1g67BpK4fGHp/G3h6aRGPCLn44jeB688FQDM2Yf3j3oY0GUiimBBsP0zSuKpCkO\nhhZ7KVSJkbNO8IO+paHKMElqTRm5+W+lNV3KpVcpKkJ29GlqDZP6Iv30aa0av6XS9W31guOkp1m3\nOrn5dbM7VkRBUYLv5/aJa6X5/MqXuPnjRxQR5wper6kzQzebnqzGSxV/7qzlvjFFRZ1TIFsQfmxo\nWTyQ+fqo0zs56vTiUrgd2+P0thUWQd2UybN3N3LWxTtomp9g18uVBS1+bsrghg/8gsvXforyl3b6\nKo/F4rplIbaNUVXJae9v481v31kQvIGg57vwIIYJTS2F3T4P/G42D/5+FlU1Dv29VoGA1+gQvveN\nY7n32E4uueJ56hqTmCac9Lp9HPfqdq7/znL+cu+s4Q8TEcqoflMi8j4RWS0iSkSGFaaZrNQY4WkK\njZ/eOFikJ0nDRv+7lUdZiMUdEKRrhB1eCsXguP/gBKo/Ydqrwi33TBEqxCAeMvWafn61YTLDtNjt\nuez0HFJa4WnfhGS9k8wYbAuwyIqxuNbEGkKV9ax/aOetH2ynssbfcdpxTevGcspCdEWyMWxNIjDV\n3r8zRng01CCKjh1xrjp9BbdfsgjDLCaOELwHtqJxXoJFp5TuQ2raxY2z9++Is/WZKt74T7ux8tou\nrZhi0Wu6qJ+V4rqbrufKVSsRy/Lt9bLffxGI2b7ZRn0dYtvcfvNCkoncFsB0rVUkPLedSBg89Vh4\nsVJroacrNsZBPfMCmD2/j+o6h1jQi25Zfm/8577yMvGyiWvfneyM9rf1EvAe4JExWMshi6cJDXgw\nKJJ1sNjhOniQIw/gotkTBNOw1Xhak9KahNascxLs9RzaggC8wUlm7jj2KTf07sMLnJPCQlRas8YQ\nodGwaDBM9iuPdU6Sl50Em90U2WXdRsOiTAzK4vD2C9uIh3hfmpbm/Z9t5Z+/vZPbnn6Z407tAdHE\nyhWv/fCeAuejbJQHi07pomN7nNZXKiiWhjEM6G2LsW9TOWv/UodyQ/K9ht8vb5f7rZP//OuXS/Jz\nTVM3I0XL4v5Q71XlGdx0wZE0zUtw/g83UDMthR33sGKK5W/p4IIfbcg8t0IMbvjbXfRdswCjrhbi\nMYjZSE01ZuOgFd+rXtfKVTc9SSzmYchgQFeqeLEylRS698e47865pb+wPEQ0535oM7/4w5/57ao/\ncvXNjxfk7Ivxhrfupjzk9+m5wpErSjtGRCGjSsVordfA0MqBU4F25VJt5PqD6iCgJg6y7HEKnZEH\niAV95OmulW6t8NAYevB34tvZDWq3DE6gepj4PenpfVG/VvRrRSVGjoJjUmsGlKZ+mG2ABJo2HUNM\nuNZn3f184tLduI7wh182IqJJBcMyM+almLUwnbrRfONnW7jglGUsO60T09bsfLGS537fhHIJNFsG\nJ0kF4cf/sJwlr+scQq6WnMKr30teOIVqxzX/fMdqZh7VP5Sz3JBccMMGrn3HMSR6CidNUwPCgzfM\n5B1f2c6Rpz9DT6tNvMqjrMq/EFjAQjtOOgH28Dtv456qI1j/sE1jU4qXXzBY/aw/Nr/4iC6+fOVz\nBb3nUNwVr7vL4t7/ncvK2+aPytTiYxet5ezztmfOfdSKTr7z4yf50kdew9aNQ9seDvSFhyAxNMkh\nBN4ihmZM9NhF5CHgX7XWT5Xy/Mmox95kmLSYdiZOuGi2OLm70UMBC5hlxqgO/poTgXpj9nCQBcy1\nYpk0koNmu5tiFFYCqQAAIABJREFUIJDhbTDMjD5Np/IoF8Pvhgl+fqgLudKazW6K/iKF1CVWnLK8\nSJPoF/btsrn8o/PZvy/G1f/7CouOHsz59vUYPL8VqpcOmjV3bI+z/YUKVj9YzzMrm7O0WwDxJzzD\nR/+LkRvYDUtR3ezn3vv3WzTMSfLOr23lmDPDHY+U8lsin7yjGa3hVe/dx4p3tmMY8KcfzOSP35+T\nu8bMOWH5Wzs479+3UDMtV0xrYfA7yk4D+hsKA/E0Tspk7Yt1XH7Rifzrt5/ndafvpdR6fn+fyQ1X\nLh/Siq6hKcFpZ+6mosrlmcebWPN8HfkXp/JKl9v++Gfieekkz4NHH5jOf146tNbPcSe38fXvPpsx\n5AD/vdzfFufDb39jZLSRx5jpsYvIA8D0kIcu1VrfVeqCRORTwKcAZsyafFfiNuXRoTwqxMBDj1oT\nZSRUi0GLaRMTIakVezy36FCSB1jiC3QJEBN/KGmTMxjcF9px7Kye9TjCAivOeieBi7+jT+vKTDf9\nSdT84DJUcM9+pEoMpgdrT2lNn/aI6dwCb6xcU17rcdbH9vG293RRVZun2FfpMXNZip6st7xhTpKG\nOUmezg/qkOlC8TVZSttq22UelQ2ub9gh0Dgvwf4d8UzXTsf2Mn550WI+8pP1LDutq+Dnf3nRYl5+\nsD4zMLXl6WpeuK+BC2/cwOJTevjLj1XIMJW/7tX3N7DukTo+88s1zDvB112xCG9PFRFsNFhgWR7L\nj+/gR79+lIbmZMlB3U+/2HR32TS1DNC2t7zgOa9+fStf/s5zvquUrTn3Q1t44pFmvvv1FTnBdvrM\nflzXIJ6XxDNNWHREYT2iotJh3uJe2lvjtO6u4Lknmlj5P/M478ItuK6gNTgpg8suOjEK6qNg2MCu\ntT5jLE6ktb4JuAn8HftYHPNgo4DeEbgCjQW1hsnsQLIXoEJM5ovBVjcVupYW089hZwcE0TDbstns\npqgUo2BICfxiy0IrTkIrjEABskO5NBhWaHApRrrAC/4FKdt/tVyEuPYvTjGMrAQKdNT28erz+ym3\nYhQoNUrx932gO/wj7D89nYsZOkAYpqK62eXLDz9HosdEDM2/n3JCgTGHkzC577tzCgL7tucrWf1A\nfY42fKrfZN3DdWx9por5J/Ww8ORu1v6lcMcbvELchMkv/2URX37o+cywWCl/JLGYZvZ8vz0wzKM0\ns56U0Ndj4bpCKmnS3JLkkiueJxZT/O2haVxz2bGZ/vR43OOSf38+ZxdeXuFx8hv28ZrTWvnbQ4N3\n2/v2lBdI54Jf69i6MVuIS/OPn3yF9354M65jYNmKNS/UccX/O57/+clS7r1zLsec6MsCPPdE4zgV\naw8fonfvEGe6WRhYDRGmm+E50bqQQGwEA0TpHXwYIkJMhBrDpNowmWZaLMnTfBmKtCDZ9qwJ2BlZ\nF6TstRgidOXl4efbMQbSbZNa5wic7Rhiqva4d7QXKaYW5rRDVo1pe8w9vod//s3LGAZU1Hoox8At\n0ibZtrUs5+uOHTEevH4WbtL3TD3xtG7OPr+N41/fjWlqNjxWiwh89KfrqKgfusuja0+crj2+cmMy\nr++/FNJaLvm4LnR1xPnIO97Eow/MoGlaklhcUVXtEosrTj6tlX/85CuZ5x99Ykeo3Ht5hcfpZ+/M\n+V5vj82D98wsGGZKpQxuv3lR5us3vHUP5124xR+MqnaJlymOWtHJxd96AYCOtjIe/uNMnl7VHAX1\nMWBUxVMRORf4IdAM3CMiz2mtzxyTlUUg+NosYcSLBehhjtevVdHn5DsySdAOaevcx9J1mXS6R4A+\npdjhOTm5/GIXkRiClddCamiYb8XY4CapUB7VhoGnoVO5DBUOX/3+Vv7+m2b2rKsIHfQp9o40z0rw\nrz/YzorX+Hn7LqXZ5YGj4IHrZgWyuoXMW5ykxbDo0Yq/3tbEHd+cj/YALVgxzbmf3MeJb+zNBNlt\n2036ACx428Xbufvb83GS4YFLa7/VMc12N8U8yy/aSyDdUEqjQjJh4HlCPK7QGp74azM//s+jcB3h\nrHN3FOTDy8oUZ793G7fe6A8fqSKvHcALeeyGq46iu9PmnR/YRlm5x/bNlfz46qPYuG5Q9fG8Czbn\n5NEBYnHFCa9pp7o2RU/XKKSIIwoYbVfMSmDlGK0lIg9NkDMPeayYUmKX8nI6T8APxGnjjGSwK64y\nzAJj6nxEBFMHAVzrjOiXBja5yYy0Qa/yQoOviw69MGkoOLeIEMPP9/drRX+Jfql2mebzd67mN/+2\nkGfvbgxXS8w7e1Wdww/u2Uhds5MJlDWGSblh8OhfKrj4a20smqH51XUtOZ0Z8TLFx76ym2bTolEJ\nsz/Qy6uXb+Tyjy6gq8OieUaKY17Tl+lCEYF5c136dYxNbor3XLgfu7WCO26YhpcnIyCimXNMH1WN\ng+9kr1ZscJI0miYxDBJa0ZglHZF+37JJpkxuuW4p99wxj3xt+GnT+wuCa5ryrPmAF59pCCn0+hK9\nD/x+dsH3lWdw6w3LuPWGpRimDpV6qKkPF4ATQ/HuD27h7l/Pz5hkR4ye6J7nEKfVcwq02JXWtBbR\nXt/jOaTQOUNIHrDdHey42OY57PWcTC/8UBjAZidJm3LpUR5tymW9kyChNT1a0ak8bBHmmjGWWHFm\nmTbpxtC9nltwDk9rnCLn1YBxAPUyK655+1e2YYbohRe8Hkvz2Rs3U9vsFEzo2givf12C8krFBz+/\nj09/axdNM1KYlmL+sgG+ccsWjntdn3/BMyFerlmyop+v/2wLAO/6WBtmnja8iFAuBmUiNJgmH/3y\nXn7z4mpWvLaXWJkiXu5RXulRNzPJ+T/cQD4pNLs9l61eir3KZa2TYLfnsE+Fi0DYMZfWj6a3AumL\nh+ZTF7/MT+58FBVyvVQKXn6+LvO16xhcccnxDPSbDPSbpFJCMmHw53tmFh1kSp+vmH7PM4834oZ8\nZG0b3nP+Fm6+62EWH1lYlI44MMak3XGkTMZ2x4mkyTCZZvp7X9931GH/MG5INWJQbhikgj73sP1v\nvWEyw7SH3LkrrQuke7NJF0iz0wUKMjK+jcHaTfy7j1bPQRBaQmoHntascRIjzi2neeauRn5zySIM\nS6NcAiXHwXOYlmLOij6u+O06mkJqFFr7k6Ij7VlPDgifeMMRXHT1Nk56Y1/B40prtqXTKlmvedPL\nZax/roLGmSliJ+8ruaslTYUYmVQNDNoSpjumLvzel5h552ZOffMevnjZizkyuelCq5MSHMfgkk+c\nzOYNNTnHr6p2eO3pe6gM2h2H60kfiqaWAX5w2yrKK1xiMR1a6N2xtYJ/Ou/1jLm94BRizNodIyae\nNuXRpjwMwj1Nw+jWiu5h0hn7lYeN0Bzc3qeDczYaQt2b0syycgukIoKhNS2mzTYvlWmdzF67gX9R\nsfFTMuld/U5vJFYchZzw7naWvaGLNX+uQ2tI9vpdLOBb5S04rpfLf7aFBsMqmq8OC+pDdZsAuK5Q\n0+DSs98Ofa7gTy/3a0UFgyJuC49KsODIAXq0YusBTM/3a8UaJ5FRGs2fHbj14mv48p3n8o73by3Q\nPhfxe82ffLSZjo4Y7//oJp5/qoG/3Dszo6/e22Nz/11zRr6wENr2lvPZD7yOcz+0hXd9cGuBnR1A\nc0uCppZEaPtlxMiIAvskYjwaLVuVS5tyqczaeadJOzXlG1+n8SdXCyOeiFBpGGQ7WmcfQQGvuEnq\nAuMQB9/abyReq8WorHc56bxB56TX/EMrrRvLaWrwOH5Ous1ziDsUNfLgLgI7NsUQQ4c+RwMxQ9jp\nOSyy4jn1CgXsdp3CHyqBZsOiwTQxELqVR8pTBbWOK1etxHTCh5CclMGJr23DMDR2TPOqU/fx3gs3\n88ULT6G3e+zz3fvby7jlB0dw8mmtzJ5XqOAo4ssjR4ye6F2MQOEH7+1uys/JB/8cNJvc4jrgQ11o\n3GGCtMa/Y9jqpdjlOaS0pkyEsR5ds+KamUf1s2y2Lqpcmb0mJQql8vPkg0FdB62YaZQHzzxSxXs/\nvY/jX98TqimUvutJas16J8E+z6Xb89jn+fWKA5lenmvaTDMtYmJgiVBvmBn3qnzq462h9ZRYXBEv\nU5ndc3mFR2Nzgvd9ePOI1zMS/vjb2QXtkZ4HW16pYn/74e1VOlZEO/aIDN3BrX25GKgSdHDSrk51\neV04XuCXWirNhsU008qMEnUpb9RpmXyKtV7ms9lJUWua1CpfiyfMVCQ7eBsmnHp2N6ee3R0aPNN3\nPekBKxf/Lmk0xBGq897zdAdTvWFmpobTtCvX1xbCT325gfa5GGRUFdPE4ppTz9jDz3+4bFRrHIq7\nfzWf417VzvLjOhFT4znCwIDFVV8dWn4gonSiwB6RQ/bkaCns8pzAZcnMBOY2zx22uJumzjBpziuk\n1homKjj2WNGvFLZRXHZYA3s9hwSahOfSJ4q5Viz0DmKoXvL9yqXWGPyz8vC1ekq5SJmAHUgvDPUb\nKDeM0OMZgbxyO7nvvQY2uklqDZNqMbi7/Sie/2o937nxScJU0sKcjcYS1zX4xhdOYunyLpYu76Jt\nbxlPPhoNJo0lUWCPGBUa2O45mJ5TUlDKp9mwCrpyjCC1sHsMd+2tnuvvcrOKpp7Wfs+8UnQpj2TW\n2Ypp8Qw3JLTXc9nluZSLgS5RU0iAWaZNbdbFsV257CnS0poqcsy0EmcxyoPJ4gta1nHezxRbtzWz\nYPZ+rKwWzcSAwe9/kyvha5j+UNtYG22sX13H+tV1wz81YsREgT1iTPAYunumGNYQQdIAStv3D08y\nqBe0mDYVGLhas0+5Rds4062D8yy/iJhWnXG1xiake0hrElrlSCCXynTTojYvtdJgWKS0DpVA7teK\nlNbEIXcQDegI0jxp79u6oIfS0zrjkwu+ifnCee3s21VOTZ1/Z2RamkcfmM4ff+t3wtTWJ/ncV1fz\n6tfvQ0Tz0jMN/PCK5ezeUVnya4uYGKLAHjGh9CtFdYhBtoc/WJVux6wQg6RW7FPuAWvgpyWMS6VX\nK9Y5CT/oIvRqj7gIs83CjhERoRyDcpERK3+GCa2Z4r/u7MBeKQYNhokgtHkOtYavvAn+Ln6Hl8pc\nWBZYccqyAnl+K6sEkhHG9B4+u/5MjvyfNta9VMeenb6+u2Forv7ZE0ybOZDZ0R99Qgff+/njfPzd\npzHQH4WOQ5koqRUxJHERagJbvPFgj3JQDDpCpcW/drkOcRGW2L45d7lhUGuYLLLiVB5EO8K0jPE+\n5TKgNX1qaHGuhVac6hGsr7jVdm4raYtpMc+KUWuY1JomMy3f9m+Nk2Ctk2CDm8xcUNI2hvnF1YJz\nB1OxX1p0D2+77Ak21y/JPHb8yW3UNyWxs6Z5TRNicY/TztpV8utLY1mKOfN7qakt/cI6WkxTcdLr\n9vGms3fSPH1g+B+YQkSX3YhQBJhnxagUI5P37deKLSUWAkslqTWvOEmmZXblfoqkXyvmWTE/8KV3\nneKbiM+ybNY7xdswxxMHP+VSTuFdRnp9c60Ya51ESWkkhS8bEKcwtZNO59gITXm7elOESsOkQnkF\nksZlwTqGPXegIZTmupuuz0yrzpzbj2kW/qbLKxRzF/SWcPRBzjxnGx//4npf293SPL2qie9dduy4\n7vrnLuzhP258kljcQwQsS3PP/87hZ98/gsNhsjXasUeEMt20qAx03dO52YrANGOsSaHZ4Tmsd5Ns\n91JUiMFCK0a1FAZP8NUhJ9KqZdsw6RyN39lTKrtcX7cno5oZFKD3BF1BVcW6YPBNxPNJ6vC7iuw2\nzXQbZntWgbZaDB685Id84FfbSSUlVMlxoM9k49ragu8X4/iT2/jUxWuprHKpqPSIxRUnvnZfRq53\nfNBc9v1nqK1PUVnlZc571rk7eM1preN43kOHKLBHhFJfRNe9YYiAVS7CHNNmkRWnxbRGHHwNYInt\n/2zlMIFxxjhcYErFAdpUocBZGoEsG5Hh6dWKTW6SbqVIKF9Y7RUnmaklFCvDaiDMvrwvKK5mry+t\nypnWuu/Tio1uMpOTn2vazLFiNJgW5y9+ic9dupqegTip5ODrcB2ht8fmrw+EGaqF876PbCrwYY3F\nNSee0kZt/fjcdS1c1kNtXapggri8wuPs924bl3MeakSpmIhQil3xi4WrtNNTukhXpoUGw2JDYLeX\nj4UfnKuDFr8O5aI0Oe5OxdoKRYRaw2SX54yLzEIxKoMpz37l2xMqrX1xtpB19uqR9fMMaM02L/xO\noFt5zCpyIdvvhZ9nk5tkZtBCKfjBfqfrhMo9V4uRI+Ocfv+bG/u475GlnHbCZkxT87eHpnHLdUeQ\nGoGXbFNLIvT7riPUNaTo2j/2k6bxMg9VxFavmGzxVCMK7BGh9GpFVV4eOb3TC2NmnluSEThNNJs2\nu/MGjQxgsV2GxWDwbjKsQLa3tJ2uxr8IHAwz8RjCAjuWKWaKCR3KY7fnYItf1DWzlC07lXfAnTth\naGBLlukG+BfYHYFEcxgqeHxHCUNeNUW0+TVwzOtWc9z/fZ5l/7n1gNb+wpMNtMzsx8qPNAK7tlcc\n0DGHY8PL4amixIDBw3+cMS7nPNSIUjFTkGoxaDKsIbszqsSgxbRoNMzQlMluN7dbJZ333RUiWBUj\nvFhniFAdoqhVZ5g5RdH0c0f6YRxb0YHizLNiGVORdL2h3jCpNUx2eg7b3BSdnkuvUrhaU2uYLLBi\nGdXFsaBfK9Y6Cba5Kba7KdY4iQJ7wQMl+/dc8JjWrDznWq5cdWB+OrffsoiBfitHiz0xYPJfP1yK\nkxqfSonrGHz/8qNJDBg4jv8ZG+g32bKxmvvvKjQKmYpEeuxTCBNYZMf9dAb+H6yDZpOTzHRoCL4F\nXbkYGPi7svSOMH+oxsLvsS4XgwHtm1uHpVVM4Ai7LHS33a88NuYVG2eZNg1m4c1iOrgMt2tXWrPH\ncwo0UcaDGH7LZdia+pTHpuC15ZuOp9e5OeR9PdQoE2GRVfgaw/Txv/zac0d8/ObpA3zw4xtZcVI7\n7fvKuOO/F/LUY82jXPXwzJzTx5nn7KC+KclTjzXz2IMtk162oFQ99iiwTyHmpHOqecGlS3mZW/KG\nwFwj/4/Y0Zq1Tng+tBTmB62R+WJgO9wU3XmBrcmwihpt7PdcGkwrVBt+qGOOF2UiLLTioamKAaV4\nJVC/PMKOY4fs0LODfxoDv0f9YN1xlEKjYTLdtHNWFHaxBzj3t1884NRMxOiIjDYOQ/KDOvi731rD\nzAT2sG4X8INNmcgB54bTxsvlDPa97/Pc0AC8X7m+mmOW7orSmpTW7FYue5VLY6D4mF5ruj1vc9Yg\nzsEgUaR1UGmdkSMw8PP9YZRnBXsBZpt2RjBNA7uHcKc6mLQrj87AC1dpTa8O67fxWXnOtXDOge3e\nIw4Oo7ovEZGrRWStiLwgIitFJFL0OUSpN0zKJK14Es5owqUHbHJTbHCSbAlywPuUS7UYzDAtmgwr\ns4vw8K3z+rXK6Jt3K4/Nwe5XQc7gDARyuTCmeetS2eGm/BpDlo+sr+PiJ6YUxVsSs3fl6aCeng2w\nRJhl2gd1kjYfE99GsVIMPHzJ5J4hgno2B5p3jxh/RvuJ+hNwtNb6WGA98JXRLyniQOlRqsDoQWuN\n4LcWLrLiCBIq1uUxtDJgqaTwJyY1sNCKMceK0WTatJgWy+yyTBBL4U89pgOiHQS6NNND0kWmCNMm\noH+9Rys2OEnalUun57Lbc3jFTeYE830hxt3ZpuMmZIJ6NoYI00LqDQeDZsPiCLuM2VaMeVaMZXa8\nYAJ2OK5ctZJd5y0YpxVGHCijCuxa6/u11ul62uPA4VFyPkTZ6aVw0ZnAnQ7yktXNERchpRVesAP1\ntMYdoThWKdQbJuVi5PRGGyLMDdQS55oxGgLJXgmmWhdZcewgsBQzxjAo/NAejP1uCs0ez2V7lpF4\nQ9D9MteMMaAV+zw38766WuekWazgjiMMe5x0eIaiUoxMqivd7WMjzLdHbol368XXRLv3Q4yx3Cp8\nDLh9DI8XMUJcYJ3jGyqUia8vEpZzNxE2u0kqxcTFL66Odda6PmR3Cn6e2R+IyS20ptUGG0yTvZ5L\nSmvKQ34+O+3ht2taGICLLxx2MIqqgn83Es+6cFUZBm2eyxongQkF3UPFNNS11vSpg98102gUVgXS\nLkwHolAJ/u79guc/yqzPdI7NIiMOmGE3OyLygIi8FPLv3VnPuRT/s3zbEMf5lIg8JSJP7e84tNu/\nJjNpu7p9nls0WAv+H25boEc+HqXIoY5pE757TasNgq+Tkp/a8LSmNSgCTw/y9ukdvy0Gc4LOnPGm\n1jBzgjoMyuyGBXUYdGjKToOlZwP2FTHUGE9MKT7ZOxI5hHx+seLnUWrmEGDYHbvW+oyhHheRDwPv\nAN6sh+id1FrfBNwEfrvjCNcZMUI8yBhEZ5NufxxvOpRHWV7w01rj4XdchIUOpTUmMM206PQ8trkp\nZpg2MRFcNHsDyz3B33GG5avnWjbrnOS4Sg3USPFJzUrDLPr+tisPR2uaTSsjTbDXcw/K9Gw+Xcqj\nIq89Ffy7kfzCdRgWfsePE+KNe+vF18DFUdfMRDLarpizgH8D3qW17h+bJUWMFdu9VCbnC/6O12Vw\n1zuedCqPbuVl8vie9o0ztropUmh6lcrZkaeLvOVi0GxYLLH93vH1bpKXnARrnWQmt20V2fGD3x8+\n3xp5nngkuOiik5ruMCmMbq3Y6KZY5yTZPoQkwHizX3kk9WA9Jt31U4r+zvSgED7HirHQirPYiofu\nEK9ctZJ1l8wb87VHDM9o71uvB6qBP4nIcyLy4zFYU8QYkdCa9U6CvZ5LR9DNsT5rCnW82RF0j+zx\nHHa4KdY6iczubpuXol25GbVBCPLsQZHVCFoBwz6gxZNMgZPROBqDwKD9XDZpnZhiWjr5WJSumz4e\npA2ud3sO3Z7fw77RTQ5rQl5nmBnHp3TRtUyEOUUupivPuTZKzUwAoyqeaq0Xj9VCIsYHF19idqJI\nak0yROlQA3s837B5jmlTF9Lyp/E1bfILohpo9RxaQloi04/HkBxz6rEkoTU7PYdZWZOaHpotJXQW\nmZCpBaR/dtcEDSlp/J37/hFc6htDBMNEhAoMLMLrC1Fq5uAzuYUTIqYECgr679MUC81tQaon7OcE\nxlRdMR8boVoMFH5Ab/dc1jnJkuYA5mZJL6R3vLNMe0IGrw6EsNoC+L+n4YquUc/7wWNyfJoipjT7\nlVc0r5tv+5bNLs/BI/eioIIp1vHSYbGAxXacWsPEEiEmBk2mxYwShoxspGjBssmYHOoe6bpJPhpK\nqhfcevE1DBw9axxWFpFNFNgjJpx+rWgLJje9rH9bh/FX9YBXnCRdysPTGkcrWoMhovGi0bRCJYcb\njOEdoywJvwMRkaIDWYca+zwXL6t4nC667hjBgNt1N10fDTSNM5NjmxAx5WlVfitjteFrlvQMsYvP\nxkH7gXwMgrlA0T70NPkKlmk0UCbGkMXTZND5k4/Smp4ROi5NFB6w3knSYFhUGQZOMA9xIHIUV65a\nGSlFjhPRjj3ikMFB06E8ukoM6mOF4GvEH2WXscwuY5kdL2pSktThrY6CL308FIrwISWPXFPpQx2F\nX5Df4qbY6Tmj0hhaec61UWpmHIgCe8SkxWJsbjnnmDHf1Slos4yJwVwrFippENZhpALLwFJyzG3K\nY7ubold5JJVvXvJKEV/YbCrEoEJGMxN66HLdTdez/J69E72MKUWUiomYdMTwxcTSveoprdnupUbU\nCVMlBjWGCWiqjeIFzfx8fTLI/c+y7IwGe7fy2DmCVFCPVvSUmJOuECPH6xRgm5sasqg8GbmgfhWs\nikw8xopoxx4xqRBgoR2nLGuQKR64HJX6YZ5j2sy1YjQEwzZhu2ARIV4kHdOrFeucJGudBC87CbaX\nMK15IBj4zlRWVmukKcI8K3bQdmQWfprqCLuMpVacBmN8fErTRKmZsSEK7BGTiurAqzW7KyX9/7oS\ngk6lGFQHQzaS9S8fpfWwXqUeozMnGY6aIV5P3UFojzSBxXYZ9YaJLULcMJhu2swaZ038KDUzeqLA\nHjGpsIuM4ZsltgzWGmbohz67Fz5twzcRqovZmBB+N4Gvzjje1ActnNkXPlOEOsPM6OaPFxfUr4q0\nZkZBFNgjJhUDRTxIPa3pL0HXvBTTN5lADZdsirVOKqD3IGi452vmp/FbOw/OO7TynGsPynmmGlFg\nj5hU9GtFv85VhkwbYZdislFMfz4sHdNkjm8+eTgSgWF2fntkn1Ili42NhqQutFpMM16TvWFcuWpl\nlJoZIVFgj5h0bHVT7PVckkqRDCzpNgVG2MOR0Dpj4pGecA0LXoYIVTKxgR1gZ6CM2aM8eoLum63e\n2NoYFqPdK7wIKq1JajWuWjxhpFMzkdZMaUSBPWLSofH7yde7SdY7SVqVO6KulHblsc5JsMtz2D2E\nbEE8yCdPNN1ascVNscVNFVWBFHyrwCPtMo60y5hl2sNKHAxHKlCsTAV3SEr7OvqlqFiOF7defM2E\nnXsyEQX2iMMSFz8ts1+r4iqRIkwrQdzrUGCBFaPJ8J2ZrOCCtNiOj7pW0Be0dq5zEqxxEmz1UgdN\nz78YV65ayc4b6yZ4FYc2UWCPOOwZSjRsvLs/xoIKMSjL07BJm5bXjtEdhwsHVeZhOH6x4udRamYI\nosAeEUHxYmDqIOeSD4RiTkymSKgswlTi1ouviYJ7CFFgj4jAd3PKF/dSWrP7IPjDjpbUEC2goxHo\nmizcevE1UWomjyiwR0QAXYE4VyIw2R5Qiq2TRJOlVytcdOiQ1URY7k0EUWomlyiwR0QEdGvFBjfJ\naifBK25yUgT1NJucJD1B37kO5BA2OclDKi9+MIgcmnyiwB4RMQVw8fv7VzsJVjsJNrmpcTPzPtS5\n7qbrD/vUzKgCu4h8W0ReEJHnROR+EZk5VguLiIgYOZrxFSabLKRTM4fr7n20O/artdbHaq2PA34P\nfGMM1hRoCZOoAAAFeUlEQVQRERExJlx30/UTvYQJYVSBXWvdnfVlJdFmISIi4hDjcFSJHHWOXUSu\nEJHtwIcYYscuIp8SkadE5Kn9HYdbSSciImIiWXnOtYdVambYwC4iD4jISyH/3g2gtb5Uaz0HuA34\nXLHjaK1v0lqfpLU+qb4hqtlGREQcfA4XE49hI6zW+gyt9dEh/+7Ke+ovgfPGZ5kRERERY8MF9aum\nfGpmtF0xS7K+fBewdnTLiYiIiBh/pnpqZrQ5kSuDtMwLwFuBi8ZgTREREREHhana8z7arpjzgrTM\nsVrrd2qtd47VwiIiIiIOBr9Y8fMpl5qJqpgRERGHPenUzFQhCuwRERERAVOl5z0K7BERERFZrDzn\n2kmvEhkF9oiIiIg8br34mkmdmokCe0REREQRJqvGexTYIyIiIoZgMtrvRYE9IiIiYhgmW2omCuwR\nERERJXLlqpWTYqApCuwRERERI+AXK35+yKdmosAeERERMUIO9dRMFNgjIiIiDpBDNTUTBfaIiIiI\nUXAopmaiwB4RERExSg611EwU2CMiIiLGiENFayYK7BERERFjyMpzrp1wA48osEdERESMMdfddP2E\n7txFa33wTyqyD9h60E8MTUDbBJx3rIjWP7FM5vVP5rVDtP4087TWzcM9aUIC+0QhIk9prU+a6HUc\nKNH6J5bJvP7JvHaI1j9SolRMRERExBQjCuwRERERU4zDLbDfNNELGCXR+ieWybz+ybx2iNY/Ig6r\nHHtERETE4cDhtmOPiIiImPIcdoFdRL4tIi+IyHMicr+IzJzoNY0EEblaRNYGr2GliBx6CkRFEJH3\nichqEVEiMmk6HETkLBFZJyKviMiXJ3o9I0FEbhGRVhF5aaLXciCIyBwR+YuIrAk+OxdN9JpGgoiU\nicjfReT5YP3fPCjnPdxSMSJSo7XuDv7/BeAorfWnJ3hZJSMibwX+rLV2ReQqAK31v03wskpCRI4E\nFPAT4F+11k9N8JKGRURMYD3wFmAH8CTwD1rrlyd0YSUiIm8AeoFbtdZHT/R6RoqIzABmaK2fEZFq\n4GngnEn0/gtQqbXuFREbeBS4SGv9+Hie97DbsaeDekAlMKmubFrr+7XWbvDl48DsiVzPSNBar9Fa\nr5vodYyQVwOvaK03aa1TwK+Bd0/wmkpGa/0I0DHR6zhQtNa7tdbPBP/vAdYAEzuvPwK0T2/wpR38\nG/eYc9gFdgARuUJEtgMfAr4x0esZBR8D7pvoRUxxZgHbs77ewSQKLFMJEZkPHA88MbErGRkiYorI\nc0Ar8Cet9bivf0oGdhF5QEReCvn3bgCt9aVa6znAbcDnJna1hQy3/uA5lwIu/ms4ZChl7ZMMCfne\npLrLmwqISBVwJ/DFvLvuQx6ttae1Pg7/7vrVIjLuKTFrvE8wEWitzyjxqb8E7gEuG8fljJjh1i8i\nHwbeAbxZH2JFkhG895OFHcCcrK9nA7smaC2HJUFu+k7gNq31/030eg4UrXWniDwEnAWMazF7Su7Y\nh0JElmR9+S5g7USt5UAQkbOAfwPepbXun+j1HAY8CSwRkQUiEgM+CNw9wWs6bAiKjzcDa7TW10z0\nekaKiDSnO9dEpBw4g4MQcw7Hrpg7gWX43RlbgU9rrXdO7KpKR0ReAeJAe/CtxydLV4+InAv8EGgG\nOoHntNZnTuyqhkdEzgauBUzgFq31FRO8pJIRkV8Bb8RXF9wLXKa1vnlCFzUCRORU4K/Ai/h/swBf\n1VrfO3GrKh0RORb4b/zPjgH8Rmv9rXE/7+EW2CMiIiKmOoddKiYiIiJiqhMF9oiIiIgpRhTYIyIi\nIqYYUWCPiIiImGJEgT0iIiJiihEF9oiIiIgpRhTYIyIiIqYYUWCPiIiImGL8f34nfoW1Q2IUAAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2c6f9932eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score: 0.51\n"
     ]
    }
   ],
   "source": [
    "# 获取数据值所在的范围\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                     np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "# np.r_按row来组合array， \n",
    "# np.c_按colunm来组合array\n",
    "# >>> a = np.array([1,2,3])\n",
    "# >>> b = np.array([5,2,5])\n",
    "# >>> np.r_[a,b]\n",
    "# array([1, 2, 3, 5, 2, 5])\n",
    "# >>> np.c_[a,b]\n",
    "# array([[1, 5],\n",
    "#        [2, 2],\n",
    "#        [3, 5]])\n",
    "# >>> np.c_[a,[0,0,0],b]\n",
    "# array([[1, 0, 5],\n",
    "#        [2, 0, 2],\n",
    "#        [3, 0, 5]])\n",
    "z = logistic.predict(np.c_[xx.ravel(), yy.ravel()])# ravel与flatten类似，多维数据转一维。flatten不会改变原始数据，ravel会改变原始数据\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()\n",
    "\n",
    "print('score:',logistic.score(x_data,y_data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD8CAYAAABjAo9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2c6f0bbb9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score: 0.988\n"
     ]
    }
   ],
   "source": [
    "# 定义多项式回归,degree的值可以调节多项式的特征\n",
    "poly_reg  = PolynomialFeatures(degree=5) \n",
    "# 特征处理\n",
    "x_poly = poly_reg.fit_transform(x_data)\n",
    "# 定义逻辑回归模型\n",
    "logistic = linear_model.LogisticRegression()\n",
    "# 训练模型\n",
    "logistic.fit(x_poly, y_data)\n",
    "\n",
    "# 获取数据值所在的范围\n",
    "x_min, x_max = x_data[:, 0].min() - 1, x_data[:, 0].max() + 1\n",
    "y_min, y_max = x_data[:, 1].min() - 1, x_data[:, 1].max() + 1\n",
    "\n",
    "# 生成网格矩阵\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.02),\n",
    "                     np.arange(y_min, y_max, 0.02))\n",
    "\n",
    "# np.r_按row来组合array， \n",
    "# np.c_按colunm来组合array\n",
    "# >>> a = np.array([1,2,3])\n",
    "# >>> b = np.array([5,2,5])\n",
    "# >>> np.r_[a,b]\n",
    "# array([1, 2, 3, 5, 2, 5])\n",
    "# >>> np.c_[a,b]\n",
    "# array([[1, 5],\n",
    "#        [2, 2],\n",
    "#        [3, 5]])\n",
    "# >>> np.c_[a,[0,0,0],b]\n",
    "# array([[1, 0, 5],\n",
    "#        [2, 0, 2],\n",
    "#        [3, 0, 5]])\n",
    "z = logistic.predict(poly_reg.fit_transform(np.c_[xx.ravel(), yy.ravel()]))# ravel与flatten类似，多维数据转一维。flatten不会改变原始数据，ravel会改变原始数据\n",
    "z = z.reshape(xx.shape)\n",
    "# 等高线图\n",
    "cs = plt.contourf(xx, yy, z)\n",
    "# 样本散点图\n",
    "plt.scatter(x_data[:, 0], x_data[:, 1], c=y_data)\n",
    "plt.show()\n",
    "\n",
    "print('score:',logistic.score(x_poly,y_data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
